Relative collaring
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- by Leonard R. Rubin PDF
- Proc. Amer. Math. Soc. 55 (1976), 181-184 Request permission
Abstract:
It was proved by Morton Brown that the boundary of a manifold has a collar neighborhood. Later Robert Connelly gave a different proof of that result, and his method of proof was used by T. Benny Rushing to prove a relative collaring theorem. This paper contains a relative collaring theorem that is more general than either of the two just mentioned.References
- Robert Connelly, A new proof of Brown’s collaring theorem, Proc. Amer. Math. Soc. 27 (1971), 180–182. MR 267588, DOI 10.1090/S0002-9939-1971-0267588-7 Jerome Dancis, Shrinking collapsible sets in topological manifolds and embedding manifolds “rel” the boundary, University of Maryland Technical Report TR 74-49, 1974, 25 pp.
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- Ernest Michael, Local properties of topological spaces, Duke Math. J. 21 (1954), 163–171. MR 62424
- T. Benny Rushing, Topological embeddings, Pure and Applied Mathematics, Vol. 52, Academic Press, New York-London, 1973. MR 0348752
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 181-184
- MSC: Primary 57A40
- DOI: https://doi.org/10.1090/S0002-9939-1976-0410755-4
- MathSciNet review: 0410755