summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subsets is introduced. Its relationship with realcompactness, almost realcompactness, almost* realcompactness, c-realcompactness is examined. Some of the properties of the newly introduced space is studied as well
AbstractA bitopological version of realcompactness is defined. Constructions of realcompact pairwise...
AbstractDenote βX − X by X∗. Define properties P0 and P1 of a space X by Pi (i<2): if D ⊆ X∗ is coun...
AbstractWe show that every uncountable compact space has a realcompact subspace of size ω1, that if ...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
summary:We provide a new generalization of realcompactness based on ultrafilters of cozero sets and ...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a ...
In this work we obtain results in two areas of topology, normal condensations of products and size o...
AbstractPF-compact spaces are defined. Every almost realcompact space is PF-compact and every separa...
AbstractA bitopological version of realcompactness is defined. Constructions of realcompact pairwise...
AbstractDenote βX − X by X∗. Define properties P0 and P1 of a space X by Pi (i<2): if D ⊆ X∗ is coun...
AbstractWe show that every uncountable compact space has a realcompact subspace of size ω1, that if ...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
summary:We provide a new generalization of realcompactness based on ultrafilters of cozero sets and ...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a ...
In this work we obtain results in two areas of topology, normal condensations of products and size o...
AbstractPF-compact spaces are defined. Every almost realcompact space is PF-compact and every separa...
AbstractA bitopological version of realcompactness is defined. Constructions of realcompact pairwise...
AbstractDenote βX − X by X∗. Define properties P0 and P1 of a space X by Pi (i<2): if D ⊆ X∗ is coun...
AbstractWe show that every uncountable compact space has a realcompact subspace of size ω1, that if ...
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