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 ON LINE
BOOK
 
Categorical Geometry
 
Introduction
 
Chapter 1
 
Analytic Categories
 
1.1
 Strong Monos
1.2
Analytic Categories
1.3
Distributive Properties
1.4
Coflat Maps
1.5
Beck-Chevalley Conditions
1.6
Analytic Monos
1.7
Disjunctable Objects
 
Chapter 2
 
Analytic Topologies
 
2.1
Normal Sieves
2.2
Normal Monos
2.3
Divisors
2.4
Analytic Sieves
2.5
Framed Topologies
2.6
Analytic Topologies
 
Chapter 3
 
Analytic Geometries
 
3.1
Reduced Objects
3.2
Integral Objects
3.3
Simple Objects
3.4
Local Objects
3.5
Analytic Geometry
3.6
Spectrums
3.7
Coflat Disjunctable Analytic Categories
3.8
Regular Objects
 
Chapter 4
 
Coherent Analytic
Categories
(Preliminary)
 
4.1
Locally Finitely Copresentable Categories
4.2
Coherent Analytic Categories
4.3
Extensive Topologies
4.4
Stone Geometries
 
Chapter 5
Coherent Analytic
Geometries
(Preliminary)
 
5.1
Coherent Analytic Geometries
5.2
Localizations
5.3
Local Isomorphisms
5.4
Strict Coherent Analytic Geometries
5.5
Local Properties of maps
 

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