Overview
- This book will become a standard reference in algebraic topology
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
For many years, algebraic topology rests on three legs: "ordinary" cohomology, K-theory, and cobordism. This book is the first guide on the subject of cobordism since R. Stong's encyclopaedic and influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories), framed by (co)homology theories and spectra.
From the Foreword by Haynes Miller
The author has also performed a service to the history of science in this book, giving detailed attributions. This same care makes the book easy to use by the student, for when proofs are not given, specific references are.
From the reviews:
"… This is an important, formidable monograph ..... The readers interested in pursuing this line of research will find it enormously helpful to have the results assembled in one place with an unified, brilliant exposition."
Zentralblatt Math 906.1999
"This book provides an excellent and thorough treatment of various topics related to cobordism. It should become an indispensable tool for advanced graduate students and workers in algebraic topology. …"
MathSciNet MR1627486
Reviews
From the reviews of the first printing:
"… This is an important, formidable monograph in the area of algebraic and geometric topology. The readers interested in pursuing this line of research will find it enormously helpful to have the results assembled in one place with an unified, brilliant exposition."
C.Costinescu, Zentralblatt Math 906.1999
"This book provides an excellent and thorough treatment of various topics related to cobordosm. It should become an indispensable tool for advanced graduate students and workers in algebraic topology. …"
D.M.Davis, MathSciNet MR1627486 (99f:550001)
"…. The book is indispensable for research workers in algebraic topology. The presentation of the material is very nice and thorough, and this makes the book convenient for students with preliminary knowledge of algebraic topology. …"
EMS - European Mathematical Society Newsletter December 1999
Authors and Affiliations
Bibliographic Information
Book Title: On Thom Spectra, Orientability, and Cobordism
Authors: Yuli B. Rudyak
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-540-77751-9
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Hardcover ISBN: 978-3-540-62043-3Published: 16 April 1998
Softcover ISBN: 978-3-642-08283-2Published: 15 December 2010
eBook ISBN: 978-3-540-77751-9Published: 12 December 2007
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XII, 590
Topics: Algebraic Topology, Manifolds and Cell Complexes (incl. Diff.Topology), Algebra