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Crumpled laminations and manifolds of nonfinite type

Author(s): R. J. Daverman; F. C. Tinsley
Journal: Proc. Amer. Math. Soc. 124 (1996), 2609-2610.
MSC (1991): Primary 57N15, 57N70; Secondary 55P15, 54B15
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Abstract: Using a group-theoretic construction due to Bestvina and Brady, we build $(n+1)$ -manifolds $W$ which admit partitions into closed, connected $n$ -manifolds but which do not have finite homotopy type.

References:

1.: M. Bestvina and N. Brady, Morse theory and finiteness properties of groups, preprint.
2.: R. J. Daverman and F. C. Tinsley, The homotopy type of laminated manifolds, Proc. Amer. Math. Soc. 96 (1986), 703--708. MR 87e:57024
3.: ------, Laminations, finitely generated perfect groups, and acyclic mappings, Michigan Math. J. 33 (1986), 343--351. MR 87k:57016


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