On Thom Spectra, Orientability, and Cobordism

On Thom Spectra, Orientability, and Cobordism by Yu. B. Rudyak.

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), orientab...

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Bibliographic Details
Main Author: Rudyak, Yu. B. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Springer Monographs in Mathematics,
Springer eBook Collection.
Subjects:
Algebraic topology.
Manifolds (Mathematics).
Complex manifolds.
Algebra.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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