Overview

"For many years, algebraic topology rested on three legs: ""ordinary"" cohomology, K-theory, and cobordism. This book is the first guide in 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. 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."

Full Product Details

Author:   Yu. B. Rudyak
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1998. Corr. 2nd printing 2007
Dimensions:   Width: 15.50cm , Height: 3.30cm , Length: 23.50cm
Weight:   2.250kg
ISBN:  

9783540620433

ISBN 10:   3540620435
Pages:   590
Publication Date:   16 April 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Notation, Conventions and Other Preliminaries.- Spectra and (Co)homology Theories.- Phantoms.- Thom Spectra.- Orientability and Orientations.- K- and KO-Orientability.- Complex (Co)bordism.- (Co)bordism with Singularities.- Complex (Co)bordism with Singularities.

Reviews

From the reviews of the first printing: <p> a ] 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. <p>C.Costinescu, Zentralblatt Math 906.1999 <p> 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. a ] <p>D.M.Davis, MathSciNet MR1627486 (99f: 550001) <p> a ]. 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. a ] <p>EMS - European Mathematical Society Newsletter December 1999 <p>

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

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

"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  "

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