Topology of singular fibers of differentiable maps /
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Author / Creator: | Saeki, Osamu, 1955- |
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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 |
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.