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On Thom Spectra, Orientability, and Cobordism

  • Yuli B. Rudyak

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 1-8
  3. Pages 135-184
  4. Pages 185-298
  5. Pages 339-381
  6. Pages 383-455
  7. Back Matter
    Pages 553-590

About this book

Introduction

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

Keywords

Kobordismus mit Singularitäten Orientierung cobordism with singularities orientation algebra algebraic topology bordism cohomology homology K-Theorie K-theory

Authors and affiliations

  • Yuli B. Rudyak
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-77751-9
  • Copyright Information Springer-Verlag 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62043-3
  • Online ISBN 978-3-540-77751-9
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site