No CrossRef data available.
Article contents
Regular Neighborhoods of Immersed Manifolds
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Let X and Y denote polyhedra, i : X → Y a PL immersion. A regular neighborhood of X associated with i is a regular neighborhood (e, Ri(X)) of X together with an immersion j : Ri(X) → Y
such that the diagram.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1974
References
1.
Haefliger, A. and Poenaru, V., La classification des Immersions combinatories, Pubis. Math. Inst. Ht. Etud. Scient. No.
23 (1964), 75–91.Google Scholar
2.
Hirsch, M. W., On tubular neighborhoods of piecewise linear and topological manifolds, in Conference on the topology of manifolds (Edited by John G. Hocking; Prindle, Weber, and Schmidt, Inc., Boston, 1968).Google Scholar
6.
Ivansic, I., Improper embeddings and unknotting of P.L. manifolds, Michigan Math. J.
19 (1972), 33–44.Google Scholar
7.
Lickorish, W. B. R. and Siebenmann, L. C., Regular neighborhoods and the stable range, Trans. Amer. Math. Soc.
139 (1969), 207–230.Google Scholar
8.
Maxwell, J. W., Obstructions to embedding n-manifolds in
(2n-l)-manifolds, Trans. Amer. Math. Soc.
181 (1973), 423–435.Google Scholar
9.
Rourke, C. P. and Sanderson, B. J., Block bundles: I, III, Ann. of Math.
87 (1968), 1–28; 431-483.Google Scholar
10.
Smith, A., Piecewise linear immersions, Proc. Cambridge Philos. Soc.
68 (1970), 45–55.Google Scholar
11.
Zeeman, E. C., Seminar on combinatorial topology, I.H.E.S.
Paris 1963 (1966), mimeographed notes.Google Scholar