Document Type
Article
Publication Title
Topology and its Applications
Abstract
In this paper we investigate conditions under which a compact set in a piecewise linear 4-manifold has close neighborhoods with 1-dimensional spines. We prove that such neighborhoods exist in case the compactum satisfies the inessential loops condition and either has fundamental dimension 0 or has the shape of S1. Corollaries include two complement theorems and a weak flatness theorem for compacta in S4.
First Page
83
Last Page
97
DOI
10.1016/0166-8641(89)90100-4
Publication Date
1-1-1989
Recommended Citation
Venema, Gerard A., "Neighborhoods of compacta in 4-manifolds" (1989). University Faculty Publications and Creative Works. 554.
https://digitalcommons.calvin.edu/calvin_facultypubs/554