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
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
summary:For a free ultrafilter $p$ on $\mathbb{N}$, the concepts of strong pseudocompactness, stro...
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 ...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
AbstractPF-compact spaces are defined. Every almost realcompact space is PF-compact and every separa...
c-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41, no. 8 (2018), 11...
summary:Various characterizations of realcompactness are transferred to uniform spaces giving non-eq...
ABSTRACT. It is proved here that a completely regular Hausdorff space X is pseudocompact if and only...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a ...
AbstractIt has long been known that hyper-real maps preserve realcompactness. In this paper we show ...
Abstract. We study realcompactness in the classes of submaxi-mal and maximal spaces. It is shown tha...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
summary:For a free ultrafilter $p$ on $\mathbb{N}$, the concepts of strong pseudocompactness, stro...
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 ...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
AbstractPF-compact spaces are defined. Every almost realcompact space is PF-compact and every separa...
c-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41, no. 8 (2018), 11...
summary:Various characterizations of realcompactness are transferred to uniform spaces giving non-eq...
ABSTRACT. It is proved here that a completely regular Hausdorff space X is pseudocompact if and only...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a ...
AbstractIt has long been known that hyper-real maps preserve realcompactness. In this paper we show ...
Abstract. We study realcompactness in the classes of submaxi-mal and maximal spaces. It is shown tha...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
summary:For a free ultrafilter $p$ on $\mathbb{N}$, the concepts of strong pseudocompactness, stro...
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