Finiteness of simple homotopy type up to s-cobordism of aspherical 4-manifolds

Details Finiteness of simple homotopy type up to s-cobordism of aspherical 4-manifolds Finiteness of simple homotopy type up to s-cobordism of aspherical 4-manifolds

2000-07-30

arxiv.org/abs/math/0007185v3

Internat. Math. Res. Notices, no. 3., 2001, 165-171

Mathematics

Geometric Topology

6 pages, AMS-TEX file. Revised and expanded version of the earlier preprint math.GT/0007185. This paper has got accepted for p

Scientific paper

10.1155/S1073792801000095

In this paper we show that for a large class C of 4-manifolds each member of
C has only finitely many simple homotopy type upto s-cobordism. This result
generalizes a similar result of Hillman for certain complex surfaces. We also
present a correction in the proof of Hillman's result.

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