BACK TO GEOMETRY.NET                                                                                COMMENTS TO: ZLUO@AZD.COM

Zhaohua Luo

Categorical Geometry

 
Categorical Algebra
1>0
Categorical Logic
0<1
Categorical Geometry
 
Reference
Dictionaries
Archive
Links
Publications
Comments
Search

new Clones and Genoids (2008)

0<1
Categorical Geometry

Introduction
a brief tour of categorical geometry

On Line Books

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
html* dvi
1993 Metric Sites*
read Chapter 5: Separated Morphisms
Research Papers
1995 On the Geometry of Metric Sites*
based on the first 2 chapters of Metric Sites
1995 On the Geometry of Framed Sites*
framed sites are pointless metric sites
Short Notes
1998 Zariski Topologies
Zariski topology on atomic category
1998 Pierce Topologies of Extensive Categories
any extensive category carries a Stone topology
html*
1998 Reduced Categories
many categories can be reduced to reduced categories
1998 Uniform functors
functors that preserves local structures
html*
1998 Left and Right Categories
based on  Unitary Categories
  dvi
1998 Atomic Categories
life is easy for atomic categories
1998 Schemes
any strict analytic category has a completion
html*
Research Announcements
1997 Abstract Algebraic Geometry
read abstract
html* dvi
1997 The Language of Analytic Categories
see Categorical Geometry for details
1>0
Categorical Algebra

Research Papers

1996
Unitary Categories
an introduction to categorical algebra
html* dvi
Short Notes
1998
Axioms of Algebraic Geometry (new, revised 11/20/98)
3 algebraic axioms + 3 geometric axioms
1998
Classical Objects (new)
reduced, integral, primary and local objects for any right unitary category
1998
Idempotents (new)
idempotents for any algebraic category
Expository Notes
1998
Algebraic Categories (section 5 added on 12/5/98)
Introduction to Universal Algebra
html*
Forthcoming
1999
Categorical Algebra (Online Book)
1 Universal Algebra  2 Unitary Algebra
FRAMES VERSION
NO FRAMES VERSION
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)

Created: April 24 1998
Comments to: zluo@azd.com
Copyright © 1998  by Zhaohua Luo  All rights reserved

1> 0 <1