Finiteness of simple homotopy type up to s-cobordism of aspherical 4-manifolds
arXiv:math/0007185 · doi:10.1155/S1073792801000095
Abstract
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.
arXiv comment6 pages, AMS-TEX file. Revised and expanded version of the earlier preprint math.GT/0007185. This paper has got accepted for publication in the Internat. Math. Res. Notices