Document Type
Article
Publication Title
Topology and its Applications
Abstract
In this paper it is shown that if X is a compactum in the interior of a PL manifold M and if U is a neighborhood of X in M, then there is a compactum X′ in U such that X and X′ have the same relative shape in U and the embedding dimension of X′ equals the fundamental dimension of X. Whenever the dimension of M is not equal to three, the relative shape equivalence from X′ to X can be realized by an infinite isotopy of M.
First Page
111
Last Page
116
DOI
10.1016/0166-8641(82)90051-7
Publication Date
1-1-1982
Recommended Citation
Venema, Gerard A., "An approximation theorem in shape theory" (1982). University Faculty Publications and Creative Works. 549.
https://digitalcommons.calvin.edu/calvin_facultypubs/549