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An Invitation to Alexandrov Geometry: CAT(0) Spaces

An Invitation to Alexandrov Geometry: CAT(0) Spaces
Catalogue Information
Field name Details
Dewey Class 516.36
Title An Invitation to Alexandrov Geometry ([EBook]) : CAT(0) Spaces / by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
Author Alexander, Stephanie
Added Personal Name Kapovitch, Vitali
Petrunin, Anton
Other name(s) SpringerLink (Online service)
Publication Cham : Springer International Publishing , 2019.
Physical Details XII, 88 pages, 91 illus. : online resource.
Series SpringerBriefs in Mathematics
ISBN 9783030053123
Summary Note 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.:
Contents note 1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-05312-3
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Catalogue Information 49911 Beginning of record . Catalogue Information 49911 Top of page .

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