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London Mathematical: The Algebraic Characterizati on of Geometric 4-Manifolds 198
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eBay-Artikelnr.:335480214592
Artikelmerkmale
- Artikelzustand
- ISBN
- 9780521467780
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521467780
ISBN-13
9780521467780
eBay Product ID (ePID)
551684
Product Key Features
Number of Pages
184 Pages
Publication Name
Algebraic Characterization of Geometric 4-Manifolds
Language
English
Publication Year
1994
Subject
Geometry / Differential, Topology
Type
Textbook
Subject Area
Mathematics
Series
London Mathematical Society Lecture Note Ser.
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
9.4 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
94-231096
Dewey Edition
20
TitleLeading
The
Series Volume Number
Series Number 198
Illustrated
Yes
Dewey Decimal
514.3
Table Of Content
Preface; 1. Algebraic preliminaries; 2. General results on the homotopy type of 4-manifolds; 3. Mapping tori and circle bundles; 4. Surface bundles; 5. Simple homotopy type, s-cobordism and homeomorphism; 6. Aspherical geometries; 7. Manifolds covered by S2 x R2; 8. Manifolds covered by S3 x R; 9. Geometries with compact models; 10. Applications to 2-knots and complex surfaces; Appendix; Problems; References; Index.
Synopsis
This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces., This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes., This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology.
LC Classification Number
QA613.2 .H55 1994
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