Pure metric geometry / Anton Petrunin.
Petrunin, Anton, 1968- author.
2023
QA551
Available Online

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Title Pure metric geometry / Anton Petrunin.
Author Petrunin, Anton, 1968- author.
ISBN 9783031391620 (electronic bk.)
3031391624 (electronic bk.)
9783031391613
3031391616
DOI https://doi.org/10.1007/978-3-031-39162-0
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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Record Appears in Online Resources > Ebooks
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Preface
Definitions
Universal Spaces
Injective Spaces
Space of Subsets
Space of Spaces
Ultralimits
Semisolutions
Bibliography.

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