_{Categorical Geometry} 









new Clones and Genoids (2008) 


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 

Research Papers 


Unitary
Categories
an introduction to categorical algebra 
html*  dvi  
Short Notes  

Axioms
of Algebraic Geometry (new,
revised 11/20/98)
3 algebraic axioms + 3 geometric axioms 


Classical Objects (new)
reduced, integral, primary and local objects for any right unitary category 


Idempotents (new)
idempotents for any algebraic category 

Expository Notes  

Algebraic
Categories (section
5 added on 12/5/98)
Introduction to Universal Algebra 
html*  


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 