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An invitation to Alexandrov geometry...

Alexander, Stephanie.

An invitation to Alexandrov geometryCAT(0) spaces /

Record Type:	Electronic resources : Monograph/item
Title/Author:	An invitation to Alexandrov geometryby Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
Reminder of title:	CAT(0) spaces /
Author:	Alexander, Stephanie.
other author:	Kapovitch, Vitali.
Published:	Cham :Springer International Publishing :2019.
Description:	xii, 88 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Generalized spaces.
Online resource:	https://doi.org/10.1007/978-3-030-05312-3
ISBN:	9783030053123$q(electronic bk.)

An invitation to Alexandrov geometryCAT(0) spaces /
Alexander, Stephanie.

An invitation to Alexandrov geometryCAT(0) spaces /[electronic resource] :by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin. - Cham :Springer International Publishing :2019. - xii, 88 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.

ISBN: 9783030053123$q(electronic bk.)

Standard No.: 10.1007/978-3-030-05312-3doiSubjects--Topical Terms:

278188
Generalized spaces.

LC Class. No.: QA641 / .A449 2019

Dewey Class. No.: 516.373

An invitation to Alexandrov geometryCAT(0) spaces /
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100 1 $a Alexander, Stephanie. $3 841927
245 1 3 $a An invitation to Alexandrov geometry $h [electronic resource] : $b CAT(0) spaces / $c by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xii, 88 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
520 $a Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
650 0 $a Generalized spaces. $3 278188
650 0 $a Riemannian manifolds. $3 190949
650 0 $a Geometry, Riemannian. $3 191082
650 1 4 $a Differential Geometry. $3 273785
650 2 4 $a Group Theory and Generalizations. $3 274819
700 1 $a Kapovitch, Vitali. $3 841928
700 1 $a Petrunin, Anton. $3 841929
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a SpringerBriefs in mathematics. $3 558795
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950 $a Mathematics and Statistics (Springer-11649)