Recognizing manifolds among generalized manifolds
Author:
Dennis C. Hass
Journal:
Proc. Amer. Math. Soc. 34 (1972), 311-313
MSC:
Primary 57B99
DOI:
https://doi.org/10.1090/S0002-9939-1972-0295360-1
MathSciNet review:
0295360
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: This paper provides various conditions, on the complement of a point in a generalized manifold M, which imply that M is a classical topological manifold. Similar characterizations are given for m-spheres and 3-cells.
- Frank Raymond, Separation and union theorems for generalized manifolds with boundary, Michigan Math. J. 7 (1960), 7–21. MR 120638
- Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491
- Kyung Whan Kwun and Frank Raymond, Generalized cells in generalized manifolds, Proc. Amer. Math. Soc. 11 (1960), 135–139. MR 116316, DOI https://doi.org/10.1090/S0002-9939-1960-0116316-7 D. C. Hass, The ends of a product manifold, Thesis, Michigan State University, East Lansing, Mich., 1970.
- John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481–488. MR 149457
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57B99
Retrieve articles in all journals with MSC: 57B99
Additional Information
Keywords:
Topological manifolds,
classical manifolds,
generalized manifolds,
locally conical generalized manifold,
spheres,
cells
Article copyright:
© Copyright 1972
American Mathematical Society
