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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
DOI: https://doi.org/10.1090/S0002-9939-96-03728-8
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 [Enhancements On Off] (What's this?)

  • 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: https://doi.org/10.1090/S0002-9939-96-03728-8
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

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