MARC details
| 000 -LEADER |
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| fixed length control field |
02124cam a2200277 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
17569061 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140930121902.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
121220s2013 nju b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691157764 (pbk. : acidfree paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.22 |
| Edition number |
23 |
| Item number |
W163 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Waldhausen, Friedhelm. |
| 245 10 - TITLE STATEMENT |
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| Title |
Spaces of PL manifolds and categories of simple maps / |
| Statement of responsibility, etc |
Friedhelm Waldhausen, Bjorn Jahren, and John Rognes. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Princeton; |
| -- |
Oxford : |
| Name of publisher, distributor, etc |
Princeton University Press, |
| Date of publication, distribution, etc |
c2013. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
184 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Annals of mathematics studies ; |
| Volume number/sequential designation |
no 186 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 175-178) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction:<br/>1. The stable parametrized h-cobordism theorem --<br/> 2. On simple maps --<br/> 3. The non-manifold part --<br/> 4. The manifold part... |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
"Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a "desingularization," improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections."--Publisher's website. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Piecewise linear topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mappings (Mathematics). |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Jahren, Bjorn. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Rognes, John. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
