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Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
Friedhelm Waldhausen
€ 232.92
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Description for Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
Hardback. Series: Annals of Mathematics Studies. Num Pages: 192 pages, 5 line illus. BIC Classification: PBKF; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. Weight in Grams: 399.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2013
Publisher
Princeton University Press
Number of pages
192
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
192
Place of Publication
New Jersey, United States
ISBN
9780691157757
SKU
V9780691157757
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Friedhelm Waldhausen
Friedhelm Waldhausen is professor emeritus of mathematics at Bielefeld University. Bjorn Jahren is professor of mathematics at the University of Oslo. John Rognes is professor of mathematics at the University of Oslo.
Reviews for Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
"The book has been written with enormous patience but it is not for impatient readers. For me, appreciation came gradually with meditations on the vast historical context of the book and the fascinating pitfalls of combinatorial topology."
Michael Weiss, Jahresber "It is a welcome event, after 35 years, to have available a complete proof of Waldhausen's program."
Bruce Hughes, Zentralblatt MATH
Michael Weiss, Jahresber "It is a welcome event, after 35 years, to have available a complete proof of Waldhausen's program."
Bruce Hughes, Zentralblatt MATH