Local degree of separability and invariance of domain
Author:
L. B. Treybig
Journal:
Proc. Amer. Math. Soc. 34 (1972), 273-279
MSC:
Primary 54A25
DOI:
https://doi.org/10.1090/S0002-9939-1972-0295278-4
MathSciNet review:
0295278
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Abstract | References | Similar Articles | Additional Information
Abstract: In ${E^n}$ an invariance of domain theorem may be proved assuming the Jordan Brouwer Theorem. In this paper such a theorem is proved for various locally compact, connected, Hausdorff spaces which satisfy a certain local degree of separability property. An example shows the separability condition may not be removed. A second theorem yields additional information about homogeneous spaces which satisfy the hypotheses of the first theorem.
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Additional Information
Keywords:
Invariance of domain,
local degree of separability,
homogeneous space
Article copyright:
© Copyright 1972
American Mathematical Society
