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Title: About Homogeneous Spaces and Conditions of Completeness of Spaces
Other Titles: Относно хомогенни пространства и условия за пълнота
Authors: Arhangel’skii, Alexander
Choban, Mitrofan
Mihaylova, Ekaterina
Keywords: Homogeneous Space
Open Mapping
Fan-Complete Space
Issue Date: 2012
Publisher: Union of Bulgarian Mathematicians
Citation: Union of Bulgarian Mathematicians, Vol. 41, No 1, (2012), 129p-133p
Abstract: 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.
Description: Александър В. Архангелски, Митрофан М. Чобан, Екатерина П. Михайлова - Въведени са понятията o-хомогенно пространство, lo-хомогенно пространство, do-хомогенно пространство и co-хомогенно пространство. Показано е, че ако lo-хомогенно пространство X има отворено подпространство, което е q-пълно, то и самото X е q-пълно. Показано е, че ако lo-хомогенно пространство X съдържа навсякъде гъсто екстремално несвързано подпространство, тогава X е екстремално несвързано.
ISBN: 1313-3330
Appears in Collections:Union of Bulgarian Mathematicians 2012

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