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Pure metric geometry

Petrunin, Anton.

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Pure metric geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Pure metric geometry/ by Anton Petrunin.
Author:	Petrunin, Anton.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	viii, 103 p. :illustrations, digital ;24 cm.
[NT 15003449]:	Preface -- Definitions -- Universal Spaces -- Injective Spaces -- Space of Subsets -- Space of Spaces -- Ultralimits -- Semisolutions -- Bibliography.
Contained By:	Springer Nature eBook
Subject:	Geometry. -
Online resource:	https://doi.org/10.1007/978-3-031-39162-0
ISBN:	9783031391620

Pure metric geometry
Petrunin, Anton.

Pure metric geometry[electronic resource] /by Anton Petrunin. - Cham :Springer Nature Switzerland :2023. - viii, 103 p. :illustrations, digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

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

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.

ISBN: 9783031391620

Standard No.: 10.1007/978-3-031-39162-0doiSubjects--Topical Terms:

517251
Geometry.

LC Class. No.: QA551

Dewey Class. No.: 516.37

Pure metric geometry
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245 1 0 $a Pure metric geometry $h [electronic resource] / $c by Anton Petrunin.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a viii, 103 p. : $b illustrations, digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8201
505 0 $a Preface -- Definitions -- Universal Spaces -- Injective Spaces -- Space of Subsets -- Space of Spaces -- Ultralimits -- Semisolutions -- Bibliography.
520 $a 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.
650 0 $a Geometry. $3 517251
650 0 $a Metric spaces. $3 546825
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