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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Crumpled laminations and manifolds
of nonfinite type


Authors: R. J. Daverman and 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.


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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: http://dx.doi.org/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
Article copyright: © Copyright 1996 American Mathematical Society