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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 1371119
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Abstract | References | Similar articles | Additional information

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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Additional Information:

R. J. Daverman
Affiliation: Department of Mathematics, University of Tennessee-Knoxville, Knoxville, Tennessee 37996-1300
Email: daverman@novell.math.utk.edu

F. C. Tinsley
Affiliation: Department of Mathematics, The Colorado College, Colorado Springs, Colorado 80903
Email: ftinsley@cc.colorado.edu

DOI: 10.1090/S0002-9939-96-03728-8
PII: S 0002-9939(96)03728-8
Keywords: Crumpled lamination, cobordism, mapping cylinder, acyclic map, finitely presented group, perfect subgroup, almost finitely presented group
Received by editor(s): November 19, 1995
Communicated by: James E. West
Copyright of article: Copyright 1996, American Mathematical Society




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