Geodesic
About Homogeneous Spaces and Conditions of Completeness of Spaces
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 129-133.

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In this paper we introduce new notions of o-homogeneous space, lo-homogeneous space, do-homogeneous space and, co-homogeneous space. If a lo-homogeneous space X is first-countable at some point, then X is first-countable. If a lo-homogeneous space X contains a dense extremally disconnected subspace, then X is extremally disconnected. ∗2000 Mathematics Subject Classification: 54A35, 63E35, 54D50.
Keywords: Homogeneous Space, Open Mapping, Fan-Complete Space 
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Arhangel’skii, Alexander; Choban, Mitrofan; Mihaylova, Ekaterina. About Homogeneous Spaces and Conditions of Completeness of Spaces. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 129-133. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a7/