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Categorical Geometry by Zhaohua Luo



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About this book :-
This is a book that combines ideas from category theory and geometry to study geometric structures in a new way. Category theory is a branch of mathematics that looks at how different mathematical objects relate to each other. By applying this perspective to geometry, Luo introduces the concept of "analytic categories" which helps in understanding geometric objects and their relationships more abstractly. This approach has influenced areas like algebraic geometry and theoretical computer science, offering new tools for analyzing geometric and algebraic structures. It involves researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis. This book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of 'Geometric Functional Analysis'.

Book Detail :-
This book has following details information.
Title: Categorical Geometry by Zhaohua Luo
Publisher: Zhaohua Luo
Year: 1998
Pages: 155
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
License: N\A
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About Author :-
The author NA NA

Book Contents :-
This book has following table of contents.
0. Introduction 1. Analytic Categories 2. Analytic Topologies 3. Analytic Geometries 4. Coherent Analytic Categories (Preliminary) 5. Coherent Analytic Geometries (Preliminary)

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