Topology of singular fibers of differentiable maps
Author(s)
Bibliographic Information
Topology of singular fibers of differentiable maps
(Lecture notes in mathematics, 1854)
Springer, c2004
Available at 64 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. [131]-134) and index
Description and Table of Contents
Description
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.
Table of Contents
- Part I. Classification of Singular Fibers: Preliminaries
- Singular Fibers of Morse Functions on Surfaces
- Classification of Singular Fibers
- Co-existence of Singular Fibers
- Euler Characteristic of the Source 4-Manifold
- Examples of Stable Maps of 4-Manifolds.- Part II. Universal Complex of Singular Fibers: Generalities
- Universal Complex of Singular Fibers
- Stable Maps of 4-Manifolds into 3-Manifolds
- Co-orientable Singular Fibers
- Homomorphism Induced by a Thom Map
- Cobordism Invariance
- Cobordism of Maps with Prescribed Local Singularities
- Examples of Cobordism Invariants.- Part III. Epilogue: Applications
- Further Developments
- References
- List of Symbols
- Index.
by "Nielsen BookData"