On Thom Spectra, Orientability, and Cobordism

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Sprache: Englisch

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Beschreibung

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

Zusammenfassung

This book is a research monograph in the field of topology, which will become a standard reference.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2010
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 590 S.
ISBN-13:	9783642082832
ISBN-10:	3642082831
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Rudyak, Yu. B.
Auflage:	Softcover reprint of hardcover 1st edition 1998
Hersteller:	Springer Berlin Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 33 mm
Von/Mit:	Yu. B. Rudyak
Erscheinungsdatum:	15.12.2010
Gewicht:	0,902 kg