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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
MathSciNet review:
1371119
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Abstract:
Using a group-theoretic construction due to Bestvina and Brady, we build -manifolds which admit partitions into closed, connected -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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