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OverviewFor 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 DetailsAuthor: Yu. B. RudyakPublisher: 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: 9783540620433ISBN 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 ![]() The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsNotation, 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.ReviewsFrom 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |