[EN] Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.Work supported by the research project "Analisi Reale" of the Italian Ministero dell'Università e della Ricerca Scientifica e Tecnologica.Bella, A.; Malykhin, V. (2001). F-points in countably compact spaces. Applied General Topology. 2(1):33-37. doi:10.4995/agt.2001.3013.33372
AbstractIt is well known that no infinite homogeneous space is both compact and extremally disconnec...
AbstractA space X is called C-closed if every countably compact subset of X is closed in X. We study...
AbstractThe countable spaces whose product with the sequential fan Sc have countable tightness are c...
Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a c...
AbstractContinuing the study initiated by Dow, Tkachenko, Tkachuk and Wilson, we prove that countabl...
AbstractOur main result is that the following cardinal arithmetic assumption, which is a slight weak...
AbstractWe study when a Tychonoff space X is countably compact at infinity, that is, the remainder o...
AbstractA method for embedding certain countable spaces into a pseudocompact Tychonoff space of coun...
summary:Countable tightness is compared to the stronger notion of countable fan-tight\-ness. In part...
summary:Countable tightness is compared to the stronger notion of countable fan-tight\-ness. In part...
AbstractIt is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urys...
AbstractWe present three examples of countable spaces with a single nonisolated point. The first giv...
AbstractWe prove a version of Lašnev's theorem for spaces with point-countable bases.Theorem. Let X ...
summary:We give a straightforward topological description of a class of spaces that are separable, c...
summary:We give a straightforward topological description of a class of spaces that are separable, c...
AbstractIt is well known that no infinite homogeneous space is both compact and extremally disconnec...
AbstractA space X is called C-closed if every countably compact subset of X is closed in X. We study...
AbstractThe countable spaces whose product with the sequential fan Sc have countable tightness are c...
Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a c...
AbstractContinuing the study initiated by Dow, Tkachenko, Tkachuk and Wilson, we prove that countabl...
AbstractOur main result is that the following cardinal arithmetic assumption, which is a slight weak...
AbstractWe study when a Tychonoff space X is countably compact at infinity, that is, the remainder o...
AbstractA method for embedding certain countable spaces into a pseudocompact Tychonoff space of coun...
summary:Countable tightness is compared to the stronger notion of countable fan-tight\-ness. In part...
summary:Countable tightness is compared to the stronger notion of countable fan-tight\-ness. In part...
AbstractIt is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urys...
AbstractWe present three examples of countable spaces with a single nonisolated point. The first giv...
AbstractWe prove a version of Lašnev's theorem for spaces with point-countable bases.Theorem. Let X ...
summary:We give a straightforward topological description of a class of spaces that are separable, c...
summary:We give a straightforward topological description of a class of spaces that are separable, c...
AbstractIt is well known that no infinite homogeneous space is both compact and extremally disconnec...
AbstractA space X is called C-closed if every countably compact subset of X is closed in X. We study...
AbstractThe countable spaces whose product with the sequential fan Sc have countable tightness are c...
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