About Homogeneous Spaces and Conditions of Completeness of Spaces
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 129-133
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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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author = {Arhangel{\textquoteright}skii, Alexander and Choban, Mitrofan and Mihaylova, Ekaterina},
title = {About {Homogeneous} {Spaces} and {Conditions} of {Completeness} of {Spaces}},
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series = {Mathematics and Education in Mathematics},
pages = {129--133},
year = {2012},
volume = {41},
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TY - JOUR AU - Arhangel’skii, Alexander AU - Choban, Mitrofan AU - Mihaylova, Ekaterina TI - About Homogeneous Spaces and Conditions of Completeness of Spaces JO - Mathematics and Education in Mathematics PY - 2012 SP - 129 EP - 133 VL - 41 IS - 1 UR - http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a7/ LA - en ID - MEM_2012_41_1_a7 ER -
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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/