| An Invitation to Alexandrov Geometry: Cat(0) Spaces 2019 Edition Contributor(s): Alexander, Stephanie (Author), Kapovitch, Vitali (Author), Petrunin, Anton (Author) |
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ISBN: 3030053113 ISBN-13: 9783030053116 Publisher: Springer OUR PRICE: $61.74 Product Type: Paperback Published: May 2019 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Algebra - Abstract - Mathematics | Group Theory |
| Dewey: 512.2 |
| Series: Springerbriefs in Mathematics |
| Physical Information: 0.21" H x 6.14" W x 9.21" (0.34 lbs) 88 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |