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Codimension 2 nonfibrators with finite fundamental groups
Author(s):
R.
J.
Daverman
Journal:
Proc. Amer. Math. Soc.
127
(1999),
881-888.
MSC (1991):
Primary 55R65, 57N15, 57N10;
Secondary 57S37, 57N55
MathSciNet review:
1646311
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Abstract:
Fibrators are -manifolds which automatically induce approximate fibrations, in the following sense: given any proper mapping from an -manifold onto a finite-dimensional metric space such that, up to shape, each point-preimage is a copy of the fibrator, is necessarily an approximate fibration. This paper sets forth new examples, for the case , of nonfibrators whose fundamental groups are finite.
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Additional Information:
R.
J.
Daverman
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300
Email:
daverman@novell.math.utk.edu
DOI:
10.1090/S0002-9939-99-05192-8
PII:
S 0002-9939(99)05192-8
Keywords:
Approximate fibration,
fibrator,
homotopy equivalence,
degree,
local winding function,
Lens space,
hopfian manifold,
locally flat
Received by editor(s):
May 24, 1997
Additional Notes:
This research was supported in part by NSF Grant DMS-9401086.
Communicated by:
Ralph Cohen
Copyright of article:
Copyright
1999,
American Mathematical Society
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