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The algebraic characterization of geometric 4-manifolds

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The Algebraic Characterization of Geometric 4-Manifolds - Hillman, J. A.
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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 ...

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The Algebraic Characterization of Geometric 4-Manifolds 1994, Cambridge University Press, Cambridge

ISBN-13: 9780521467780

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