Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
(Paperback)
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Publishing Details
Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
By (Author) Friedhelm Waldhausen
By (author) Bjrn Jahren
By (author) John Rognes
Princeton University Press
Princeton University Press
8th July 2013
United States
Classifications
Tertiary Education
Non Fiction
Functional analysis and transforms
514
Physical Properties
Paperback
192
Width 156mm, Height 235mm
255g
Description
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 Waldhau
Reviews
"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
Author Bio
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.
