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An invitation to Alexandrov geometry...
~
Alexander, Stephanie.
An invitation to Alexandrov geometry = CAT(0) spaces /
Record Type:
Language materials, printed : 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.;
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 geometry
CAT(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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An invitation to Alexandrov geometry
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CAT(0) spaces /
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by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
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Imprint: Springer,
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1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
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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.
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Petrunin, Anton.
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Mathematics and Statistics (Springer-11649)
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