$R_{3}$-quasi-uniform spaces and topological homeomorphism groups
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- by Massood Seyedin PDF
- Proc. Amer. Math. Soc. 52 (1975), 465-468 Request permission
Abstract:
It is well known that if $X$ is a completely regular space and $G$ is a homeomorphism group of $X$ onto itself such that $G$ is equicontinuous with respect to a compatible uniformity of $X$, then $G$ is a topological group under the topology of pointwise convergence. In this paper, we obtain a generalization of the above result by means of ${R_3}$-quasi-uniformities.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 465-468
- MSC: Primary 54E15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0375245-5
- MathSciNet review: 0375245