Crumpled laminations and manifolds of nonfinite type
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- by R. J. Daverman and F. C. Tinsley PDF
- Proc. Amer. Math. Soc. 124 (1996), 2609-2610 Request permission
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
- M. Bestvina and N. Brady, Morse theory and finiteness properties of groups, preprint.
- R. J. Daverman and F. C. Tinsley, The homotopy type of certain laminated manifolds, Proc. Amer. Math. Soc. 96 (1986), no. 4, 703–708. MR 826506, DOI 10.1090/S0002-9939-1986-0826506-1
- R. J. Daverman and F. C. Tinsley, Laminations, finitely generated perfect groups, and acyclic maps, Michigan Math. J. 33 (1986), no. 3, 343–351. MR 856526, DOI 10.1307/mmj/1029003414
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
- Received by editor(s): November 19, 1995
- Communicated by: James E. West
- © Copyright 1996 American Mathematical Society
- 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