國立虎尾科技大學 |

Pure metric geometry

Record Type:	Language materials, printed : 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.;
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:

579899
Geometry.

LC Class. No.: QA551

Dewey Class. No.: 516.37

Pure metric geometry
LDR:01933nam a2200337 a 4500 001 1119861
003 DE-He213
005 20231121105122.0
006 m d
007 cr nn 008maaau
008 240612s2023 sz s 0 eng d
020 $a 9783031391620 $q (electronic bk.)
020 $a 9783031391613 $q (paper)
024 7 $a 10.1007/978-3-031-39162-0 $2 doi
035 $a 978-3-031-39162-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA551
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516.37 $2 23
090 $a QA551 $b .P498 2023
100 1 $a Petrunin, Anton. $3 1227419
245 1 0 $a Pure metric geometry $h [electronic resource] / $c by Anton Petrunin.
260 $a Cham : $c 2023. $b Springer Nature Switzerland : $b Imprint: Springer,
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 579899
650 0 $a Metric spaces. $3 527849
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u https://doi.org/10.1007/978-3-031-39162-0
950 $a Mathematics and Statistics (SpringerNature-11649)