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An invitation to Alexandrov geometry...

Alexander, Stephanie.

An invitation to Alexandrov geometry = CAT(0) spaces /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An invitation to Alexandrov geometry/ by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
其他題名:	CAT(0) spaces /
作者:	Alexander, Stephanie.
其他作者:	Kapovitch, Vitali.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xii, 88 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Generalized spaces. -
電子資源:	https://doi.org/10.1007/978-3-030-05312-3
ISBN:	9783030053123

An invitation to Alexandrov geometry = CAT(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

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

676256
Generalized spaces.

LC Class. No.: QA641 / .A449 2019

Dewey Class. No.: 516.373

An invitation to Alexandrov geometry = CAT(0) spaces /
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100 1 $a Alexander, Stephanie. $3 1227417
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 : $c 2019. $b Springer International Publishing : $b Imprint: Springer,
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 676256
650 0 $a Riemannian manifolds. $3 580421
650 0 $a Geometry, Riemannian. $3 672546
650 1 4 $a Differential Geometry. $3 671118
650 2 4 $a Group Theory and Generalizations. $3 672112
700 1 $a Kapovitch, Vitali. $3 1227418
700 1 $a Petrunin, Anton. $3 1227419
710 2 $a SpringerLink (Online service) $3 593884
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830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u https://doi.org/10.1007/978-3-030-05312-3
950 $a Mathematics and Statistics (Springer-11649)

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