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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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