Topology of Singular Fibers of Differentiable Maps

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 o...

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Autore principale: Saeki, Osamu, 1955-
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1854
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Edition sous un autre format:• Topology of singular fibers of differentiable maps, Osamu Saeki, 2004, Berlin, Springer, 1 vol. (X-145 p.), Lecture notes in mathematics, 3-540-23021-1
• Topology of Singular Fibers of Differentiable Maps, Texte imprimé, 9783662201213
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100 1 |a Saeki, Osamu,  |d 1955- 
245 1 0 |a Topology of Singular Fibers of Differentiable Maps   |c Osamu Saeki. 
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490 0 |a Lecture notes in mathematics  |v 1854  |x 1617-9692 
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500 |a Archives Springer e-books (Licence nationale) 
505 0 |a 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. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
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 |a Variétés topologiques 
650 |a Topologie différentielle 
650 |a Singularités (mathématiques) 
650 |a Mathématiques 
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