London Mathematical: The Algebraic Characterization of Geometric 4-Manifolds 198

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Item specifics

Condition
Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
ISBN
9780521467780
Category

About this product

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
Author
J. A. Hillman
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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