ENGLISH

An invitation to Alexandrov geometry CAT(0) spaces

By Alexander , Anton , Stephanie; Kapovi·c , Vitali; Petrunin

Book information

Year
2019
ISBN
9783030053116, 9783030053123, 3030053113
Language
english
Format
PDF
Filesize
2 MB (1635212 bytes)
Series
SpringerBriefs in Mathematics
Pages
xii, 88 Seiten Illustrationen\95
Time added
2020-11-29 04:13:44

Description

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.;1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.

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