An Invitation to Alexandrov Geometry : CAT(0) Spaces / Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

By:

Alexander, Stephanie, 1941- [VerfasserIn]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerBriefs in Mathematics | Springer eBooks Mathematics and StatisticsPublisher: Cham : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (XII, 88 Seiten) : Illustrationen, DiagrammeISBN:

9783030053123

Subject(s):

Additional physical formats: 9783030053116 | Erscheint auch als: 978-3-030-05311-6 Druck-AusgabeDDC classification:

516.36 23

LOC classification:

QA641-670

DOI: DOI: 10.1007/978-3-030-05312-3Online resources:

Summary: 1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 SemisolutionsSummary: 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 manifoldsPPN: PPN: 1666727067Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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