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.
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- Date Published: April 1994
- format: Paperback
- isbn: 9780521467780
- length: 184 pages
- dimensions: 228 x 152 x 10 mm
- weight: 0.266kg
- availability: Available
Table of Contents
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
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