MARC details
| 000 -LEADER |
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| fixed length control field |
01600nam a22003377a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260222162641.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260216b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030053116 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516.36 |
| Item number |
ALE-I |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Alexander, Stephanie |
| 245 13 - TITLE STATEMENT |
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| Title |
An invitation to Alexandrov geometry : |
| Remainder of title |
CAT(0) spaces |
| Statement of responsibility, etc |
by Stephanie Alexander, Vitali Kapovitch and Anton Petrunin |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
©2019 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 88 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
SpringerBriefs in Mathematics, |
| International Standard Serial Number |
2191-8198 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographic references and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
1. Preliminaries |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Title |
2. Gluing theorem and billiards |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Title |
3. Globalization and asphericity |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Title |
4. Subsets |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential geometry. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Group theory. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Group Theory and Generalizations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Kapovitch, Vitali |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Petrunin, Anton |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
SpringerBriefs in Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
