[PDF.68zb] The Algebraic Characterization of Geometric 4-Manifolds (London Mathematical Society Lecture Note Series)

The Algebraic Characterization of Geometric 4-Manifolds (London Mathematical Society Lecture Note Series)

[PDF.ra27] The Algebraic Characterization of Geometric 4-Manifolds (London Mathematical Society Lecture Note Series)

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 |  1994-02-03 |  1994-02-03 | File type: PDF

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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...

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