Homogeneous superassociative systems
H. Länger (1980)
Colloquium Mathematicae
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H. Länger (1980)
Colloquium Mathematicae
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B. Gilligan (1986)
Matematički Vesnik
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Gadea, P.M., Ramos, Ana Primo (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Ondřej Zindulka (1990)
Commentationes Mathematicae Universitatis Carolinae
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Lasserre, Jean B. (1998)
Journal of Convex Analysis
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Angelo Bella (2005)
Commentationes Mathematicae Universitatis Carolinae
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We provide a further estimate on the cardinality of a power homogeneous space. In particular we show the consistency of the formula for any regular power homogeneous ccc space.
Arhangel’skii, Alexander, Choban, Mitrofan, Mihaylova, Ekaterina (2012)
Union of Bulgarian Mathematicians
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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. In this paper...
Dušan Repovš, Lyubomyr Zdomskyy, Shuguo Zhang (2014)
Fundamenta Mathematicae
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We present a ZFC construction of a non-meager filter which fails to be countable dense homogeneous. This answers a question of Hernández-Gutiérrez and Hrušák. The method of the proof also allows us to obtain for any n ∈ ω ∪ {∞} an n-dimensional metrizable Baire topological group which is strongly locally homogeneous but not countable dense homogeneous.