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
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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.
- [1] Frank Raymond, Separation and union theorems for generalized manifolds with boundary., Michigan Math. J 7 (1960), 7–21. MR 0120638
- [2] Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491
- [3] Kyung Whan Kwun and Frank Raymond, Generalized cells in generalized manifolds, Proc. Amer. Math. Soc. 11 (1960), 135–139. MR 116316, https://doi.org/10.1090/S0002-9939-1960-0116316-7
- [4] D. C. Hass, The ends of a product manifold, Thesis, Michigan State University, East Lansing, Mich., 1970.
- [5] John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481–488. MR 149457
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0295360-1
Keywords:
Topological manifolds,
classical manifolds,
generalized manifolds,
locally conical generalized manifold,
spheres,
cells
Article copyright:
© Copyright 1972
American Mathematical Society
