EuDML | Browse

Page 1

Displaying 1 – 9 of 9

$m_{X}$ -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...

Maximal fuzzy topologies

Ganesan Balasubramanian (1995)

Kybernetika

Maximal pseudocompact spaces

Jack R. Porter, Robert M., Jr. Stephenson, Grant R. Woods (1994)

Commentationes Mathematicae Universitatis Carolinae

Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.

We consider the question of when $X_{M} = X$ , where $X_{M}$ is the elementary submodel topology on X ∩ M, especially in the case when $X_{M}$ is compact.

Displaying 1 – 9 of 9

$m_{X}$ -generalized closed sets.

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

Maximal fuzzy topologies

Maximal pseudocompact spaces

Minimal non-totally minimal topological rings

Minimal sequential Hausdorff spaces.

Modified Whyburn semigroups.

Modular, distributive and simple intervals of the lattice of topologies

More reflections on compactness

Currently displaying 1 – 9 of 9