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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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Book Details

ISBN: 9780521467780
ISBN-10: 0521467780
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 184
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-Feb-1994
Country of Publication: United Kingdom

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