Geodesic
Quasi-Uniform Spaces and Topological Homeomorphism Groups(1)
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 97-98

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Let X be a topological space and G a subgroup of the homeomorphism group H(X) with the topology of point-wise convergence. It is well-known that if X is uniformizable and G is equicontinuous with respect to a compatible uniformity then G is a topological group. In this paper we show that essentially this same result applies when X is only an R0-space (and hence in particular if X is T 1 or regular). A corresponding result for regular spaces has been proved [2]. 
Seyedin, Massood. Quasi-Uniform Spaces and Topological Homeomorphism Groups(1). Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 97-98. doi: 10.4153/CMB-1974-017-0
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     author = {Seyedin, Massood},
     title = {Quasi-Uniform {Spaces} and {Topological} {Homeomorphism} {Groups(1)}},
     journal = {Canadian mathematical bulletin},
     pages = {97--98},
     year = {1974},
     volume = {17},
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     doi = {10.4153/CMB-1974-017-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-017-0/}
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