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＜E-Book＞
An Invitation to Alexandrov Geometry : CAT(0) Spaces / by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
(SpringerBriefs in Mathematics. ISSN:21918201)

Edition	1st ed. 2019.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2019
Size	XII, 88 p. 91 illus : online resource
Authors	*Alexander, Stephanie author Kapovitch, Vitali author Petrunin, Anton author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Group theory FREE:Differential Geometry FREE:Group Theory and Generalizations
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-05312-3

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