Topology of singular fibers of differentiable maps /

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Bibliographic Details
Author / Creator:Saeki, Osamu, 1955-
Imprint:Berlin ; New York : Springer, c2004.
Description:x, 145 p. : ill. ; 24 cm.
Language:English
Series:Lecture notes in mathematics ; 1854
Lecture notes in mathematics (Springer-Verlag) ; 1854.
Subject:
Format: E-Resource Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/5374665
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ISBN:3540230211 (pbk.)
Notes:Includes bibliographical references (p. [131]-134) and index.
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Table of Contents:
  • 1. Preliminaries
  • 2. Singular fibers of Morse functions on surfaces
  • 3. Classification of singular fibers
  • 4. Co-existence of singular fibers
  • 5. Euler characteristic of the source 4-manifold
  • 6. Examples of stable maps of 4-manifolds
  • 7. Generalities
  • 8. Universal complex of singular fibers
  • 9. Stable maps of 4-manifolds into 3-manifolds
  • 10. Co-orientable singular fibers
  • 11. Homomorphism induced by a Thom map
  • 12. Cobordism invariance
  • 13. Cobordism of maps with prescribed local singularities
  • 14. Examples of cobordism invariants
  • 15. Applications
  • 16. Further developments.