Geometry.Net - Pure_And_Applied_Math: Topological Groups


Home - Pure_And_Applied_Math - Topological Groups

e99.com Bookstore

Images

Newsgroups

41-60 of 90 Back | 1 | 2 | 3 | 4 | 5 | Next 20

Topological Groups: more books (100)

Topological Groups 1ST Edition by Leon Pontrjagin, 1939

Topological Groups: Characters, Dualities, and Minimal Group Topoligies (Pure and Applied Mathematics) (Vol 130) by Dikran N. Dikranjan, Ivan R. Prodanov, et all 1989-09-26

Cohomology Theory of Topological Transformation Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) by W.Y. Hsiang, 1975-08-26

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians (Springer Monographs in Mathematics) by Andrea Bonfiglioli, Ermanno Lanconelli, et all 2010-11-02

Compact Lie Groups (Graduate Texts in Mathematics) by Mark R. Sepanski, 2010-11-02

Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras (Encyclopaedia of Mathematical Sciences)

Stochastic Processes in Non-archimedean Banach Spaces, Manifolds and Topological Groups

Classical Topology and Combinatorial Group Theory by John Stillwell, 1993-03-25

Exercises in Abelian Group Theory (Texts in the Mathematical Sciences) by D. Valcan, C. Pelea, et all 2010-11-02

Applications of the Theory of Groups in Mechanics and Physics (Fundamental Theories of Physics) by Petre P. Teodorescu, Nicolae-A.P. Nicorovici, 2010-11-02

Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics) by Jürgen Berndt, Franco Tricerri, et all 1995-04-13

Representation Theory of Algebraic Groups and Quantum Groups (Progress in Mathematics)

Elements of Topological Dynamics (Mathematics and Its Applications) by J. de Vries, 2010-11-02

Profinite Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Luis Ribes, Pavel Zalesskii, 2010-11-02

lists with details

[math/0004119] On Subgroups Of Minimal Topological Groups
From Vladimir Uspenskij uspensk@bing.math.ohiou.edu Date Wed, 19 Apr2000 003647 GMT (34kb) On subgroups of minimal topological groups.
http://arxiv.org/abs/math.GN/0004119
[math/0201101] On Approximation Of Topological Groups By Finite Algebraic System
180359 GMT (16kb) On approximation of topological groups by finitealgebraic systems. Authors L.Yu. Glebsky, EI.Gordon Comments
http://arxiv.org/abs/math.GR/0201101

Extractions: It is known that locally compact groups approximable by finite ones are unimodular, but this condition is not sufficient, for example, the simple Lie groups are not approximable by finite ones as topological groups. In this paper the approximations of locally compact groups by more general finite algebraic systems are investigated. It is proved that the approximation of locally compact groups by finite semigroups is equivalent to approximation by finite groups and thus not all locally compact groups are approximable by finite semigroups. We prove that any locally compact group is approximable by finite left (right) quasigroups but the approximabilty of a locally compact group by finite quasigroups (latin squares) implies its unimodularity. The question if the unimodularity of a locally compact group implies its approximability by finite quasigroups is open. We prove only that the discrete groups are approximable by finite quasigroups. References and citations for this submission:
P. 16: Compactifications Of Topological Groups By Vladimir Uspenskij (AtlasImage
FIRST page PREVIOUS page NEXT page LAST page INDEX page16. FIRST page PREVIOUS page NEXT page LAST page INDEX.
http://www.maths.soton.ac.uk/EMIS/proceedings/TopoSym2001/30.aim/16.htm
Graduate Courses In Topological Groups, Lie Groups
topological groups, Lie groups. 22Axx Topological and differentiable algebraic systems,.22Bxx Locally compact abelian groups (LCA groups). 22C05 Compact groups.
http://www.iwr.uni-heidelberg.de/groups/compalg/gruber/WWW/22-XXmon.html
Abstract Harmonic Analysis : Vol 1. Structure Of Topological Groups, Integration
Abstract Harmonic Analysis Vol 1. Structure of topological groups, IntegrationTheory, Group Representations Author Hewitt, E.; Author Ross, KA.
http://www.opengroup.com/mabooks/354/3540941908.shtml
School Of Mathematical & Physical Sciences - University Of Newcastle
topological groups Researchers Dr Jacqui Ramagge; Dr George Willis.topological groups (George Willis, Jacqui Ramagge). The solution
http://www.newcastle.edu.au/school/math-physical-sci/research/topgrp.html
Topology : An Introduction With Application To Topological Groups
Topology An Introduction With Application to topological groups. This singlebook has all you've been looking for, doesn't it ? Stop wasting your time !
http://www.arkanar.com.by/64/Topology_Introduction_With_Application.htm

Extractions: Topology, sometimes described as "rubber-sheet geometry", is crucial to modern mathematics and to many other disciplinesfrom quantum mechanics to sociology. This stimulating introduction to the field gives students a familiarity with the elementary point set of topology, including an easy acquaintance with the line and the plane, knowledge often useful in graduate mathematics programs. Back to Linear Algebra
Mhc22.htm
algebraic systems {For topological rings and fields, see 12Jxx , 13Jxx , 16W80 }/ ; For dual spaces of operator algebras and topological groups, see 47D35.
http://www.math.unipd.it/~biblio/math/complexc/mhc22.htm
Mhb57.htm
57Txx, Homology and homotopy of topological groups and related structures. 57T20,Homotopy groups of topological groups and homogeneous spaces.
http://www.math.unipd.it/~biblio/math/mainb/mhb57.htm

Extractions: 57-XX General reference works (handbooks, dictionaries, bibliographies, etc.) Instructional exposition (textbooks, tutorial papers, etc.) Research exposition (monographs, survey articles) Explicit machine computation and programs (not the theory of computation or programming) Proceedings, conferences, collections, etc. Low-dimensional topology Fundamental group, presentations, free differential calculus Topological methods in group theory Covering spaces Special coverings, e.g. Branched Relations with graph theory [See also Two-dimensional complexes Invariants of knots and 3-manifolds Wild knots and surfaces, etc., wild embeddings Dehn's lemma, sphere theorem, loop theorem, asphericity Geometric structures on low-dimensional manifolds Group actions in low dimensions None of the above, but in this section Topological manifolds Topology of $E^2$, $2$-manifolds Topology of general $3$-manifolds [See also Topology of $E^3$ and $S^3$ [See also Topology of $E^4$, $4$-manifolds [See also Topology of $E^n$, $n$-manifolds ($4
Michael Megrelishvili's Home Page
Minimal topological groups. Fragmentability in Banach and locally convex spaces.WAP functions on topological groups. Groupoids and partial symmetries.
http://www.math.biu.ac.il/~megereli/
BGU Set Theory And Topology Seminars
Topic Reflexive representations of topological groups and Gspaces. Speaker ArkadyLeiderman. Topic Actions of general topological groups IV (continuation).
http://www.math.bgu.ac.il/~arkady/topologyseminar/topologyseminararchive.htm

Extractions: BGU Set Theory and Topology Seminar Archive Next seminar Wednesday, April 24 , 14:00, room -101, the math building. Speaker : Victoria Lubitch Topic : Linearly Lindelof non Lindelof spaces II Wednesday, April 10 , 14:00, room -101, the math building. Speaker : Victoria Lubitch Topic : Linearly Lindelof non Lindelof spaces Abstract Wednesday, March 20 , 14:00, room -101(?), the math building. Speaker : Michael Levin Topic : Free actions of compact 0-dimensional groups Abstract : We will discuss basic results, methods and conjectures. Wednesday, February 27 , 12:00, room -101, the math building. Speaker : Istvan Juhasz (Budapest) Topic : of his choice Friday, February 15 , 10:00, room -101, the math building. Speaker : Istvan Juhasz (Budapest) Topic : Calibers, free sequences and density Abstract : Results from a joint work with Z. Szentmiklossy. Below you can download the DVI, PS and PDF file. NOTE: The last seminar in this semester Wednesday, January 9 , 14:30, room 201, the math building. Speaker : Edmund Ben-Ami Topic : Another proof of the Open Mapping Principle (III) Wednesday
22-XX
topological groups, Lie groups. {For transformation groups, see 54H15, 57Sxx,58XX. 22A05, Structure of general topological groups xref 20K45, 54H11.
http://www.rzuser.uni-heidelberg.de/~d19/msc/22.htm

Extractions: General reference works (handbooks, dictionaries, bibliographies, etc.) Instructional exposition (textbooks, tutorial papers, etc.) Research exposition (monographs, survey articles) Historical (must also be assigned at least one classification number from Section 01) Explicit machine computation and programs (not the theory of computation or programming) Proceedings, conferences, collections, etc. Topological and differentiable algebraic systems Structure of general topological groups [xref: 20K45, 54H11] Analysis on general topological groups [xref: 43A65] Structure of topological semigroups Analysis on topological semigroups [xref: 43A65] Topological groupoids (including differentiable and Lie groupoids) [See also ] [xref: 58H05] Representations of general topological groups and semigroups Topological semilattices, lattices and applications [See also ] [xref: 06B30, 06B35, 06F30] Other topological algebraic systems and their representations None of the above, but in this section
Selected Of Publications -- Dikran Dikranjan
topological groups Characters, Dualities and Minimal Group Topologies, Pure andApplied Mathematics, Vol. topological groups with thin generating sets, Jour.
http://www.dimi.uniud.it/~dikranja/books.html

Extractions: Selected publications Topological Groups: Characters, Dualities and Minimal Group Topologies , Pure and Applied Mathematics, Vol. Marcel Dekker Inc. , New York-Basel, 1990, pp. x+287, ISBN: 0-8247-8047-7 (jointly with Iv. Prodanov e L. Stoyanov) Categorical Structure of Closure Operators with Applications to Topology, Algebra and Discrete Mathematics , Mathematics and its Applications, vol. Kluwer Academic Publishers , Dordrecht-Boston-London 1995, pp. 358+xviii, ISBN: 0-7923-3772-7 (jointly with W. Tholen) Algebraic structure of the pseudocompact groups Memoirs Amer. Math. Soc. , April 1998, pp. viii+83 (jointly with D. Shakhmatov). Abelian Groups, Module Theory and Toplogical Algebra, Proceedings in Honour of Adalberto Orsatti's 60-th Birthday , Padova 19-21 June 1997, ``Lecture Notes in Pure and Applied Mathematics", vol. 201, Marcel Dekker , New York 1998, xviii+444 pp. ISBN: 0-8247-1937-9 (jointly with L. Salce). A class of compact abelian groups, 70, (1975/76) 191-206 (jointly with Iv. Prodanov). Minimal topologies on divisible groups
Dikran Dikranjan's Home Page
Bulgariaborn professor of mathematics at Udine University. Includes a CV, a list of publications, Category Society Ethnicity Armenian Personal Pages RESEARCH INTERESTS. Algebraic aspects of topological groups, Rings andModules. Combinatorial aspects of (topological and abstract) groups.
http://www.dimi.uniud.it/~dikranja/
Untitled Document
MATHEMATICS COLLOQUIUM. Smoothing of topological groups. Erik K. Pedersen. Tue Feb4 2003 at 1515 in Aud 8. It is not all topological groups which are Lie groups.
http://www.math.ku.dk/cal/events/1484.htm

Extractions: KØBENHAVNS UNIVERSITET MATHEMATICS COLLOQUIUM Smoothing of topological groups Erik K. Pedersen Tue Feb 4 2003 at 15:15 in Aud 8 It is not all topological groups which are Lie groups. It is for instance easy to construct infinite dimensional counterexamples, and likewise the rational numbers with the metric topology is a counterexample. But if one assumes that the underlying space satisfies a finiteness assumption (e.g., that the homology is finitely generated) and has a "reasonable" topology (e.g., has the homotopy type of a simplicial complex) then the underlying space IS always homotopy equivalent to a closed, smooth, parallelizable manifold. This new result is joint work with Tilman Bauer, Nitu Kitchloo, and Dietrich Notbohm, and builds on the last 50 years of algebraic and geometric topology. The talk wil be an introduction to the mathematics surrounding this result and will be aimed at non-experts. There will be tea before the talk and it will be followed by dinner. Organised by Jesper Grodal Thu Jan 30 15:20:21 2003
Felix.unife.it/Root/d-Mathematics/d-Groups-and-semigroups/b-Topological-groups
3811 W. Comfort topological groups. 3810 Kunen/, 11431263. M. Cotlar/R. RicabarraOn the existence of characters in topological groups. Am. J. Math.
http://felix.unife.it/Root/d-Mathematics/d-Groups-and-semigroups/b-Topological-g

Extractions: 3811 W. Comfort: Topological groups. 3810 Kunen/, 1143-1263. M. Cotlar/R. Ricabarra: On the existence of characters in topological groups. Am. J. Math. 76 (1954), 375-388. D. Dikranjan/I. Prodanov/L. Stoyanov: Topological groups. Dekker 1989, 300p. $ 120. Seems to be a rather beautiful book at a surely ugly and not acceptable price. 7360 Paul Garrett: Smooth representations of totally disconnected groups. Internet 1995, 37p. F. Greenleaf: Invariant means on topological groups. Van Nostrand 1969. Siegfried Grosser/Wolfgang Herfort: An invariance property of algebraic curves in P2(R). Rend. Circ. Mat. Palermo 33 (1984), 134-144. Siegfried Grosser/Wolfgang Herfort: Abelian subgroups of topological groups. Trans. AMS 283 (...), 211-223. Siegfried Grosser/Wolfgang Herfort: Abelian subgroups of topological groups, Academic Press 1999. Siegfried Grosser/O. Loos/M. Moskowitz: U''ber Automorphismengruppen lokalkompakter Gruppen und Derivationen von Liegruppen. Math. Zeitschr. 114 (1970), 321-339. Siegfried Grosser/R. Mosak/M. Moskowitz: Duality theory and harmonic analysis on central topological groups. Indag. Math. 35 (1973), 65-91. Siegried Grosser/M. Moskowitz: On central topological groups. Trans. AMS 127 (1967), 317-340. Siegfried Grosser/M. Moskowitz: Representation theory of central topological groups. Trans. AMS 129 (1967), 361-390. Siegfried Grosser/M. Moskowitz: Compactness conditions in topological groups I-II. J. reine u. angew. Math. 246 (1971), 1-40. Siegfried Grosser/M. Moskowitz: Harmonic analysis on central topological groups. Trans. AMS 156 (1971), 419-454. 14382 Joan Hart/Kenneth Kunen: Bohr compactifications of discrete structures. Fund. Math. 160 (1999), 101-151. S. Hartman/C. Ryll-Nardzewski: Zur Theorie der lokal-kompakten abelschen Gruppen. Coll. Math. 4 (1957), 157-188. Karl Heinrich Hofmann/Sidney Morris: The structure of compact groups. De Gruyter 1997. T. Husain: Introduction to topological groups. Saunders 1966. 2613 Reiner Lenz: Group theoretic methods in image processing. Springer 1990. P. Milnes: Continuity properties of compact right topological groups. Math. Proc. Camb. Phil. Soc. 86 (1979), 427-435. D. Montgomery/L. Zippin: Topological transformation groups. Interscience 1955. 5696 L. Pontrjagin: Topologische Gruppen. 2 volumes. Teubner, Leipzig 1957. 1640 Hans Reiter: Classical harmonic analysis and locally compact groups. Oxford UP 1968. Stevo Todorcevic: Topics in topology. Springer LN Math. 1652 (1997). Concise and modern account of function space theory, semigroup structure on the Stone-Cech compactification (with a topological proof of van der Waerden's theorem), compact and compactly generated groups, and hyperspaces. Francois Ziegler: Subsets of R^n which become dense in any compact group. J. Alg. Geom. 2 (1993), 385-387. The image of a polynomial map is dense in any compact group.
Abstract Harmonic Analysis. Volume 1: Structure Of Topological Groups. Integrati
Volume 1 Structure of topological groups. Integration Theory. Abstract HarmonicAnalysis. Volume 1 Structure of topological groups. Integration Theory.
http://www.uni-protokolle.de/buecher/isbn/3540941908/

Extractions: ISBN: 3540941908 Kurzbeschreibung The book is based on courses given by E. Hewitt at the University of Washington and the University of Uppsala. The book is intended to be readable by students who have had basic graduate courses in real analysis, set-theoretic topology, and algebra. That is, the reader should know elementary set theory, set-theoretic topology, measure theory, and algebra. The book begins with preliminaries in notation and terminology, group theory, and topology. It continues with elements of the theory of topological groups, the integration on locally compact spaces, and invariant functionals. The book concludes with convolutions and group representations, and characters and duality of locally compact Abelian groups. Synopsis Based on a course presented at the Universities of Washington and Uppsala, this textbook is aimed at graduate students who have knowledge of real analysis, set-theoretic topology and algebra. It explores topological groups, the integration of locally compact spheres and invariant functionals.
Short CV: Paul Milnes
topological groups and flows, and associated My research is centred around topologicalgroups, compact right topological groups, flows and C*algebras.
http://www.math.uwo.ca/~milnes/cv/

Extractions: My research is centred around topological groups, compact right topological groups, flows and C*-algebras. These mathematical objects are both algebraic and topological in nature, are of great interest to mathematicians, and are widely studied by them; they are also very useful to physicists, statisticians and social scientists. My study of these concepts uses powerful tools from harmonic analysis, topological dynamics and functional analysis. One area of my work has its origins at the beginning of this century, in the work of Harald Bohr on almost periodic functions on the real line. Since then the subject has grown enormously and now includes the study of the algebras of weakly almost periodic functions, almost automorphic functions, distal functions and many other functions of "almost periodic type" on groups and semigroups G. As well as the tools mentioned above, a unifying concept in this work is the appropriate notion of compactification of G, which is like the Stone-Cech compactification, except that account is also taken of the algebraic structure of G. The structure of the relevant compactifications plays an important role in determining functional analytic and dynamical properties of the algebras and of G. Haar measure on compact right topological groups - that is, a probability measure on the group that is both left and right invariant, and unique as such; this discovery was made in joint work with coauthor J.S. Pym.
Short CV: Paul Milnes
topological groups and flows, and Paul Milnes' research is centred around topologicalgroups, compact right topological groups, flows and C*algebras.
http://www.math.uwo.ca/Milnes.html

Extractions: Paul Milnes' research is centred around topological groups, compact right topological groups, flows and C*-algebras. These mathematical objects are both algebraic and topological in nature, are of great interest to mathematicians, and are widely studied by them; they are also very useful to physicists, statisticians and social scientists. Milnes' work uses powerful tools from harmonic analysis, topological dynamics and functional analysis. One area of Milnes' work has its origins at the beginning of this century, in the work of Harald Bohr on almost periodic functions on the real line. Since then the subject has grown enormously and now includes the study of the algebras of weakly almost periodic functions, almost automorphic functions, distal functions and many other functions of "almost periodic type" on groups and semigroups G. As well as the tools mentioned above, a unifying concept in this work is the appropriate notion of compactification of G, which is like the Stone-ech compactification, except that account is also taken of the algebraic structure of G. The structure of the relevant compactifications plays an important role in determining functional analytic and dynamical properties of the algebras and of G. In other work, Milnes studies C*-algebras generated from operator equations (analogous to the equation generating the much-studied "irrational rotation" C*-algebras) and the connection of these algebras with some special groups and flows. He also studies the representation theory of compact right topological groups; the results achieved indicate that this theory will be difficult, with much work still to be done. An important and interesting aspect of Milnes' work is the study of examples, structure and other properties of flows and compact right topological groups. A notable recent success in this area was the discovery of
MM_Publications
PUBLICATIONS 1. On central topological groups Research Announcement, Bull. 2. Representationtheory of central topological groups Research Announcement, Bull.
http://math.gc.cuny.edu/faculty/moskowitz/MM_Publications.htm

Extractions: PUBLICATIONS 1. On central topological groups Research Announcement, Bull. A.M.S., (1966), 826-830. (With S. Grosser). 2. Representation theory of central topological groups Research Announcement, Bull. A.M.S., (1966), 831-837. (with S. Grosser). 3. Homological algebra in locally compact abelian groups Trans. A.M.S., 4. On central topological groups Trans. A.M.S., (1967), 317-340. (with S. Grosser). 5. Representation theory of central topological groups Trans. A.M.S., (1967), 361-390. (with S. Grosser). 6. Uber Automorphismengruppen localkompakter Gruppen und Derivationen von Lie Gruppen Math. Zeitschrift, (1970), 321-339. (with S. Grosser and O. Loos). 7. Cyclic vectors for representations of locally compact groups Math. Ann., (1971), 265-288. (with F. Greenleaf). 8. Compactness conditions I and II J.f. Reine, u. Ang. Math., (1971), 1-40. (with S. Grosser). 9. Harmonic analysis on central topological groups Trans. A.M.S., (1971), 419-454. (with S. Grosser). 10. Central idempotents in measure algebras Math. Zeitschrift, (1971), 217-222. (with R.D. Mosak).

41-60 of 90 Back | 1 | 2 | 3 | 4 | 5 | Next 20