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.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: February 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
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×