Lecture Notes in Mathematics

Topology of Singular Fibers of Differentiable Maps

Authors: Saeki, Osamu

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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.

About the authors

The author received his Ph.D. from the University of Tokyo in 1992. He has taught at Yamagata University, Hiroshima University, and is currently a Professor at Kyushu University, Japan.

Reviews

From the reviews of the first edition:

"The book is a systematic summary of the author’s research done in the past decade … . The book is undoubtedly a milestone in global singularity theory of smooth maps of negative codimension: a very promising research topic. This clearly written and nicely illustrated volume is suitable for anybody in the field from graduate students to researchers." (Richárd Rimányi, Zentralblatt MATH, Vol. 1072, 2005)


Table of contents (6 chapters)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-44648-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $44.95
price for USA
  • ISBN 978-3-540-23021-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topology of Singular Fibers of Differentiable Maps
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1854
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44648-4
DOI
10.1007/b100393
Softcover ISBN
978-3-540-23021-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 154
Topics