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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Crumpled laminations and manifolds of nonfinite type
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by R. J. Daverman and F. C. Tinsley
Proc. Amer. Math. Soc. 124 (1996), 2609-2610
DOI: https://doi.org/10.1090/S0002-9939-96-03728-8

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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Bibliographic 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