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Categorical Geometry |
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new Clones and Genoids (2008) |
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| 1996 | Categorical
Geometry (sections 5.6 and
5.7 added on 11/15/98)
the general theory of analytic categories; based on Diers's works |
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| 1993 | Metric
Sites*
read Chapter 5: Separated Morphisms |
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| Research Papers | |||||||
| 1995 | On
the Geometry of Metric Sites*
based on the first 2 chapters of Metric Sites |
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| 1995 | On
the Geometry of Framed Sites*
framed sites are pointless metric sites |
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| Short Notes | |||||||
| 1998 | Zariski
Topologies
Zariski topology on atomic category |
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| 1998 | Pierce
Topologies of Extensive Categories
any extensive category carries a Stone topology |
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| 1998 | Reduced
Categories
many categories can be reduced to reduced categories |
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| 1998 | Uniform
functors
functors that preserves local structures |
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| 1998 | Left
and Right Categories
based on Unitary Categories |
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| 1998 | Atomic
Categories
life is easy for atomic categories |
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| 1998 | Schemes
any strict analytic category has a completion |
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| 1997 | Abstract
Algebraic Geometry
read abstract |
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| 1997 | The
Language of Analytic Categories
see Categorical Geometry for details |
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Research Papers |
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Unitary
Categories
an introduction to categorical algebra |
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| Short Notes | |||||||
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Axioms
of Algebraic Geometry (new,
revised 11/20/98)
3 algebraic axioms + 3 geometric axioms |
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Classical Objects (new)
reduced, integral, primary and local objects for any right unitary category |
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Idempotents (new)
idempotents for any algebraic category |
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| Expository Notes | |||||||
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Algebraic
Categories (section
5 added on 12/5/98)
Introduction to Universal Algebra |
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NO FRAMES VERSION |
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| About
this document:
(a) The files marked by * require a viewer under Win95 (the symbols are copied from the character file provided by Win95). The benefit is that it is faster to download and easy to read and print. (b) The other html files can be read by any viewer capable of graphics (the symbols are included as gif. files). (c) Subscripts and superscripts are displayed using html commands. (Top of Page) |
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Created: April 24 1998
Comments to: zluo@azd.com
Copyright © 1998
by Zhaohua Luo All rights reserved
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