A collaring theorem for codimension one manifolds

Authors:
Robert J. Daverman and Fred C. Tinsley

Journal:
Proc. Amer. Math. Soc. **120** (1994), 969-972

MSC:
Primary 57N45; Secondary 57N35, 57N40, 57N70

DOI:
https://doi.org/10.1090/S0002-9939-1994-1205486-8

MathSciNet review:
1205486

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Abstract | References | Similar Articles | Additional Information

Abstract: The chief result implies that an -manifold embedded in the interior of an -manifold as a closed, separating subset is locally flatly embedded if the embedding is well behaved in a locally peripheral sense and if has arbitrarily close neighborhoods such that the fundamental groups of appropriate components of admit a uniform finite upper bound on the number of generators.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1994-1205486-8

Keywords:
Codimension one manifold,
locally flat embedding,
locally peripherally collared,
wild Cantor set,
open collar neighborhood

Article copyright:
© Copyright 1994
American Mathematical Society