ENGLISH

Pure Metric Geometry (SpringerBriefs in Mathematics)

By Anton Petrunin

Book information

Publisher
Springer
Year
2023
ISBN
3031391616, 9783031391613
Language
english
Format
PDF
Filesize
1 MB (1391569 bytes)
Edition
1st ed. 2023
Pages
112\107
Time added
2025-01-28 09:08:02

Description

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.

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