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Topology Of Singular Fibers Of Differentiable Maps, Paperback by Saeki, Osamu...

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Book Title
Topology Of Singular Fibers Of Differentiable Maps
ISBN
9783540230212
Subject Area
Mathematics
Publication Name
Topology of Singular Fibers of Differentiable Maps
Item Length
11 in
Publisher
Springer Berlin / Heidelberg
Subject
Topology
Publication Year
2004
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Author
Osamu Saeki
Item Width
8.5 in
Item Weight
9.2 Oz
Number of Pages
X, 154 Pages

關於產品

Product Information

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.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540230211
ISBN-13
9783540230212
eBay Product ID (ePID)
43449348

Product Key Features

Author
Osamu Saeki
Publication Name
Topology of Singular Fibers of Differentiable Maps
Format
Trade Paperback
Language
English
Subject
Topology
Publication Year
2004
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
X, 154 Pages

Dimensions

Item Length
11 in
Item Width
8.5 in
Item Weight
9.2 Oz

Additional Product Features

LCCN
2004-110903
Intended Audience
Scholarly & Professional
Series Volume Number
1854
Number of Volumes
1 Vol.
Lc Classification Number
Qa613-613.8
Volume Number
Vol. 1854
Reviews
From the reviews of the first edition:"The book is a systematic summary of the author's research done in the past decade … . The book is undoubtedly a milestone in global singularity theory of smooth maps of negative codimension: a very promising research topic. This clearly written and nicely illustrated volume is suitable for anybody in the field from graduate students to researchers." (Richárd Rimányi, Zentralblatt MATH, Vol. 1072, 2005), From the reviews of the first edition: "The book is a systematic summary of the author's research done in the past decade ... . The book is undoubtedly a milestone in global singularity theory of smooth maps of negative codimension: a very promising research topic. This clearly written and nicely illustrated volume is suitable for anybody in the field from graduate students to researchers." (Richárd Rimányi, Zentralblatt MATH, Vol. 1072, 2005), From the reviews of the first edition: "The book is a systematic summary of the author's research done in the past decade ... . The book is undoubtedly a milestone in global singularity theory of smooth maps of negative codimension: a very promising research topic. This clearly written and nicely illustrated volume is suitable for anybody in the field from graduate students to researchers." (Richrd Rimnyi, Zentralblatt MATH, Vol. 1072, 2005), From the reviews of the first edition: "The book is a systematic summary of the author's research done in the past decade … . The book is undoubtedly a milestone in global singularity theory of smooth maps of negative codimension: a very promising research topic. This clearly written and nicely illustrated volume is suitable for anybody in the field from graduate students to researchers." (Richárd Rimányi, Zentralblatt MATH, Vol. 1072, 2005)
Table of Content
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.
Copyright Date
2004
Dewey Decimal
514.72
Dewey Edition
0
Illustrated
Yes

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