Anton Petrunin: Pure Metric Geometry

Cover: 9783031391613 | Pure Metric Geometry | Anton Petrunin | Taschenbuch | viii | Englisch

Rückseite: 9783031391613 | Pure Metric Geometry | Anton Petrunin | Taschenbuch | viii | Englisch

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Anton Petrunin is Professor of Mathematics at Penn State.

Zusammenfassung

Lectures provide a valuable resource for graduate students in mathematics and advanced undergraduate students

Provides a concise introduction to key constructions in metric geometry

Illustrates key topics, including Urysohn's universal space, injective spaces, and ultralimits

Inhaltsverzeichnis

Preface.- Definitions.- Universal Spaces.- Injective Spaces.- Space of Subsets.- Space of Spaces.- Ultralimits.- Semisolutions.- Bibliography.

Details

Erscheinungsjahr:	2023
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	SpringerBriefs in Mathematics
Inhalt:	viii 103 S. 17 s/w Illustr. 103 p. 17 illus.
ISBN-13:	9783031391613
ISBN-10:	3031391616
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Petrunin, Anton
Hersteller:	Springer Springer International Publishing AG SpringerBriefs in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 7 mm
Von/Mit:	Anton Petrunin
Erscheinungsdatum:	22.11.2023
Gewicht:	0,184 kg