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Can lend chapters, not whole ebooks
Details
Title
Pure metric geometry / Anton Petrunin.
ISBN
9783031391620 (electronic bk.)
3031391624 (electronic bk.)
9783031391613
3031391616
3031391624 (electronic bk.)
9783031391613
3031391616
Published
Cham : Springer, 2023.
Language
English
Description
1 online resource (viii, 103 pages) : illustrations.
Item Number
10.1007/978-3-031-39162-0 doi
Call Number
QA551
Dewey Decimal Classification
516.3/7
Summary
This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport. Researchers in metric geometry will find this book appealing and helpful, in addition to graduate students in mathematics, and advanced undergraduate students in need of an introduction to metric geometry. Any previous knowledge of classical geometry, differential geometry, topology, and real analysis will be useful in understanding the presented topics.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed December 4, 2023).
Series
SpringerBriefs in mathematics, 2191-8201
Available in Other Form
Pure Metric Geometry
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Table of Contents
Preface
Definitions
Universal Spaces
Injective Spaces
Space of Subsets
Space of Spaces
Ultralimits
Semisolutions
Bibliography.
Definitions
Universal Spaces
Injective Spaces
Space of Subsets
Space of Spaces
Ultralimits
Semisolutions
Bibliography.