Local degree of separability and invariance of domain
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- by L. B. Treybig PDF
- Proc. Amer. Math. Soc. 34 (1972), 273-279 Request permission
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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- 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