SpringerBriefs in Mathematics

An Invitation to Alexandrov Geometry

CAT(0) Spaces

Authors: Alexander, Stephanie, Kapovitch, Vitali, Petrunin, Anton

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  • Explains the importance of CAT(0) geometry in geometric group theory
  • Demonstrates Alexandrov geometry through applications and theorems
  • Discusses Reshetnyak gluing theorem and Hadamard-Cartan globilization theorem
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eBook $24.99
$54.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-05312-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
$69.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-05311-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

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.

Table of contents (4 chapters)

Table of contents (4 chapters)
  • Preliminaries

    Pages 1-16

    Alexander, Stephanie (et al.)

  • Gluing theorem and billiards

    Pages 17-31

    Alexander, Stephanie (et al.)

  • Globalization and asphericity

    Pages 33-48

    Alexander, Stephanie (et al.)

  • Subsets

    Pages 49-65

    Alexander, Stephanie (et al.)

Buy this book

eBook $24.99
$54.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-05312-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
$69.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-05311-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
An Invitation to Alexandrov Geometry
Book Subtitle
CAT(0) Spaces
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive licence to Springer Nature Switzerland AG
eBook ISBN
978-3-030-05312-3
DOI
10.1007/978-3-030-05312-3
Softcover ISBN
978-3-030-05311-6
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XII, 88
Number of Illustrations
91 b/w illustrations
Topics