Topology of Singular Fibers of Differentiable Maps

  • Authors
  • Osamu┬áSaeki

Part of the Lecture Notes in Mathematics book series (LNM, volume 1854)

Table of contents

  1. Front Matter
    Pages N2-X
  2. Osamu Saeki
    Pages 1-5
  3. Osamu Saeki
    Pages 122-129
  4. Osamu Saeki
    Pages 131-134
  5. Osamu Saeki
    Pages 135-145
  6. Back Matter
    Pages 147-151

About this book


The volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications.

This is a very interesting subject in differential topology, since it shows a beautiful interplay between the usual theory of singularities of differentiable maps and the geometric topology of manifolds.


Euler characteristics cobordism of singular maps manifold singular fiber staple map universal complex

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-23021-2
  • Online ISBN 978-3-540-44648-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site