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Topology of singular fibers of differentiable maps Osamu Saeki

Von:

Saeki, Osamu [aut]

Materialtyp: Text

TextVerlagsnummer: 11319177Sprache: Englisch Reihen: ; 185400 | Lecture notes in mathematics ; 1854Verlag: Berlin Heidelberg [u.a.] Springer 2004Beschreibung: X, 145 S. graph. Darst. 24 cmInhaltstyp:

Text

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ohne Hilfsmittel zu benutzen

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ISBN:

3540230211

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Andere physische Formen: Erscheint auch als: Topology of Singular Fibers of Differentiable Maps; Online-Ausg.: Topology of Singular Fibers of Differentiable MapsLOC-Klassifikation:

QA3
QA614.58

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17,1
SI 850
SK 350
*57R45
57-02
31.65

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Zusammenfassung: 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. TOC: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.- IndexAndere Ausgaben: Erscheint auch als (Online-Ausgabe): / Saeki, Osamu: Topology of Singular Fibers of Differentiable Maps; Online-Ausg.: / Saeki, Osamu: Topology of Singular Fibers of Differentiable Maps

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Exemplare
Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik)	Campusbibliothek für Informatik und Mathematik (E2 3)	Series (GF)	LNM 1854 (Regal durchstöbern(Öffnet sich unterhalb))	Verfügbar		2202000370581

Literaturverz. S. [131] - 134

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. TOC: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

Saeki, Osamu: Topology of Singular Fibers of Differentiable Maps

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