Buch, Englisch, Band 1854, 154 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 260 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1854, 154 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 260 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-23021-2
Verlag: Springer Berlin Heidelberg
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.
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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.