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Strong Local Homogeneity and Coset Spaces
Jan van Mill
Proceedings of the American Mathematical Society
Vol. 133, No. 8 (Aug., 2005), pp. 2243-2249
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/4097864
Page Count: 7
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We prove that for every homogeneous and strongly locally homogeneous separable metrizable space X there is a metrizable compactification γX of X such that, among other things, for all x, y ∈ X there is a homeomorphism f: γX → γX such that f(x) = y. This implies that X is a coset space of some separable metrizable topological group G.
Proceedings of the American Mathematical Society © 2005 American Mathematical Society