Topology of singular fibers of differentiable maps /
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| Author / Creator: | Saeki, Osamu, 1955- |
|---|---|
| Imprint: | Berlin ; New York : Springer, ©2004. |
| Description: | 1 online resource (x, 145 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1854 Lecture notes in mathematics (Springer-Verlag) ; 1854. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11065305 |
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| 100 | 1 | |a Saeki, Osamu, |d 1955- |0 http://id.loc.gov/authorities/names/no2004054235 |1 http://viaf.org/viaf/114866554 | |
| 245 | 1 | 0 | |a Topology of singular fibers of differentiable maps / |c Osamu Saeki. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©2004. | ||
| 300 | |a 1 online resource (x, 145 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1854 | |
| 504 | |a Includes bibliographical references (pages 131-134) and index. | ||
| 505 | 0 | 0 | |t Preliminaries -- |t Singular fibers of Morse functions on surfaces -- |t Classification of singular fibers -- |t Co-existence of singular fibers -- |t Euler characteristic of the source 4-manifold -- |t Examples of stable maps of 4-manifolds -- |t Generalities -- |t Universal complex of singular fibers -- |t Stable maps of 4-manifolds into 3-manifolds -- |t Co-orientable singular fibers -- |t Homomorphism induced by a Thom map -- |t Cobordism invariance -- |t Cobordism of maps with prescribed local singularities -- |t Examples of cobordism invariants -- |t Applications -- |t Further developments. |
| 520 | |a 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. | ||
| 650 | 0 | |a Singularities (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85122871 | |
| 650 | 0 | |a Differential mappings. | |
| 650 | 0 | |a Topological manifolds. |0 http://id.loc.gov/authorities/subjects/sh85136084 | |
| 655 | 4 | |a Electronic books. | |
| 650 | 7 | |a Singularities (Mathematics) |2 fast |0 http://id.worldcat.org/fast/fst01119502 | |
| 650 | 7 | |a Topological manifolds. |2 fast |0 http://id.worldcat.org/fast/fst01152686 | |
| 776 | 0 | 8 | |i Print version: |a Saeki, Osamu, 1955- |t Topology of singular fibers of differentiable maps. |d Berlin ; New York : Springer, ©2004 |z 3540230211 |w (DLC) 2004110903 |w (OCoLC)56837470 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1854. | |
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