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$m_{X}$ -generalized closed sets.

Salas Brown, Margot, Carpintero, Carlos, Rosas, Ennis (2007)

Divulgaciones Matemáticas

Martin’s Axiom and $ω$ -resolvability of Baire spaces

Fidel Casarrubias-Segura, Fernando Hernández-Hernández, Angel Tamariz-Mascarúa (2010)

Commentationes Mathematicae Universitatis Carolinae

We prove that, assuming MA, every crowded $T_{0}$ space $X$ is $ω$ -resolvable if it satisfies one of the following properties: (1) it contains a $π$ -network of cardinality $< 𝔠$ constituted by infinite sets, (2) $χ (X) < 𝔠$ , (3) $X$ is a $T_{2}$ Baire space and $c (X) \leq ℵ_{0}$ and (4) $X$ is a $T_{1}$ Baire space and has a network $𝒩$ with cardinality $< 𝔠$ and such that the collection of the finite elements in it constitutes a $σ$ -locally finite family. Furthermore, we prove that the existence of a $T_{1}$ Baire irresolvable space is equivalent to the existence of...

Minimal $K C$ -spaces are countably compact

Theodoros Vidalis (2004)

Commentationes Mathematicae Universitatis Carolinae

In this paper we show that a minimal space in which compact subsets are closed is countably compact. This answers a question posed in [1].

More on generalized homeomorphisms in topological spaces.

Caldas, Miguel (2001)

Divulgaciones Matemáticas

More on semi-Urysohn spaces.

Dontchev, Julian, Ganster, Maximilian (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Displaying 1 – 5 of 5

m X -generalized closed sets.

Martin’s Axiom and ω -resolvability of Baire spaces

Minimal K C -spaces are countably compact

More on generalized homeomorphisms in topological spaces.

More on semi-Urysohn spaces.

Currently displaying 1 – 5 of 5

$m_{X}$ -generalized closed sets.

Martin’s Axiom and $ω$ -resolvability of Baire spaces

Minimal $K C$ -spaces are countably compact