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On Thom spectra, orientability, and cobordism /

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, Yuli B., 1948-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1998]
Series:Springer monographs in mathematics.
Subjects:
Cobordism theory.
Homology theory.
Topological manifolds.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Foreword
  • Preface
  • Introduction
  • Chapter I. Notation, Conventions and Other Preliminaries
  • Chapter II. Spectra and (Co)homology Theories
  • Chapter III. Phantoms
  • Chapter IV. Thom Spectra
  • Chapter V. Orientability and Orientations
  • Chapter VI. K and K0-Orientability
  • Chapter VII. Complex (Co)bordism
  • Chapter VIII. (Co)bordism with Singularities
  • Chapter IX. Complex (Co)bordism with Singularities
  • References
  • List of Notations
  • Subject Index.