Pure metric geometry / Anton Petrunin.

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Pure metric geometry / Anton Petrunin.

9783031391620 (electronic bk.)
3031391624 (electronic bk.)
9783031391613
3031391616

Cham : Springer, 2023.

English

1 online resource (viii, 103 pages) : illustrations.

10.1007/978-3-031-39162-0 doi

QA551

516.3/7

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed December 4, 2023).

SpringerBriefs in mathematics.

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