東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

An invitation to Alexandrov geometry...

Alexander, Stephanie.

Linked to FindBook

Google Book

Amazon

博客來

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	An invitation to Alexandrov geometry/ by 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.
[NT 15003449]:	1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
Contained By:	Springer eBooks
Subject:	Generalized spaces. -
Online resource:	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:

705161
Generalized spaces.

LC Class. No.: QA641 / .A449 2019

Dewey Class. No.: 516.373

An invitation to Alexandrov geometry = CAT(0) spaces /
LDR:01695nmm a2200337 a 4500 001 2191567
003 DE-He213
005 20191101120501.0
006 m d
007 cr nn 008maaau
008 200504s2019 gw s 0 eng d
020 $a 9783030053123 $q (electronic bk.)
020 $a 9783030053116 $q (paper)
024 7 $a 10.1007/978-3-030-05312-3 $2 doi
035 $a 978-3-030-05312-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA641 $b .A449 2019
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 516.373 $2 23
090 $a QA641 $b .A378 2019
100 1 $a Alexander, Stephanie. $3 3411064
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 705161
650 0 $a Riemannian manifolds. $3 540526
650 0 $a Geometry, Riemannian. $3 519718
650 1 4 $a Differential Geometry. $3 891003
650 2 4 $a Group Theory and Generalizations. $3 893889
700 1 $a Kapovitch, Vitali. $3 3411065
700 1 $a Petrunin, Anton. $3 3411066
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-030-05312-3
950 $a Mathematics and Statistics (Springer-11649)