Add to ORKGsummary:We provide a new generalization of realcompactness based on ultrafilters of cozero sets and contrast it with almost realcompactness
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
summary:We provide a new generalization of realcompactness based on ultrafilters of cozero sets and ...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
AbstractPF-compact spaces are defined. Every almost realcompact space is PF-compact and every separa...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
summary:Various characterizations of realcompactness are transferred to uniform spaces giving non-eq...
summary:For a free ultrafilter $p$ on $\mathbb{N}$, the concepts of strong pseudocompactness, stro...
ABSTRACT. It is proved here that a completely regular Hausdorff space X is pseudocompact if and only...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
Abstract. We study realcompactness in the classes of submaxi-mal and maximal spaces. It is shown tha...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
summary:We provide a new generalization of realcompactness based on ultrafilters of cozero sets and ...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
AbstractPF-compact spaces are defined. Every almost realcompact space is PF-compact and every separa...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
summary:Various characterizations of realcompactness are transferred to uniform spaces giving non-eq...
summary:For a free ultrafilter $p$ on $\mathbb{N}$, the concepts of strong pseudocompactness, stro...
ABSTRACT. It is proved here that a completely regular Hausdorff space X is pseudocompact if and only...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
Abstract. We study realcompactness in the classes of submaxi-mal and maximal spaces. It is shown tha...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...