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Strong local homogeneity and coset spaces |
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| Authors: | Jan van Mill |
| Institution: | Department of Mathematics, Faculty of Sciences, Vrije Universiteit, De Boelelaan 1081${}^a$, 1081 HV Amsterdam, The Netherlands |
| Abstract: | We prove that for every homogeneous and strongly locally homogeneous separable metrizable space  there is a metrizable compactification  of  such that, among other things, for all  there is a homeomorphism  such that  . This implies that  is a coset space of some separable metrizable topological group  . |
| Keywords: | Topological group action coset space strongly locally homogeneous |
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