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Alexandrov Geometry: Foundations by Stephanie Alexander Paperback Book

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
ISBN-13
9781470475369
Book Title
Alexandrov Geometry
ISBN
9781470475369

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Product Identifiers

Publisher
American Mathematical Society
ISBN-10
1470475367
ISBN-13
9781470475369
eBay Product ID (ePID)
27063297883

Product Key Features

Language
English
Publication Name
Alexandrov Geometry : Foundations
Subject
General
Publication Year
2024
Type
Textbook
Author
Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Subject Area
Mathematics
Series
Graduate Studies in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.7 in
Item Weight
19 Oz
Item Length
10.2 in
Item Width
7.2 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2023-038358
Dewey Edition
23/eng/20230927
Series Volume Number
236
Dewey Decimal
514/.32
Table Of Content
Preliminaries Model plane Metric spaces Maps and functions Ultralimits Space of spaces The ghost of Euclid Dimension theory Fundamentals Fundamentals of curvature bounded below Fundamentals of curvature bounded above Kirszbraun revisited Warped products Polyhedral spaces Structure and tools First order differentiation Dimension of CAT spaces Dimension of CBB spaces Gradient flow Semisolutions Bibliography Index
Synopsis
Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem., Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are ......
LC Classification Number
QA611.28.A35 2023

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