AbstractFor a locally pseudocompact space X letζX=X∪clβX(βX\υX). It is proved that ζX is the largest (with respect to the standard partial order ⩽) among all pseudocompactifications of X which have compact remainder. Other characterizations of ζX are also given
AbstractWe investigate two properties and their connection to the property of pseudoradiality in the...
Given an uncountable cardinal ℵ, the product space Iℵ, I=[0,1], is called a Tychonoff cube. A collec...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
AbstractFor a locally pseudocompact space X letζX=X∪clβX(βX\υX). It is proved that ζX is the largest...
[EN] A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer ps...
AbstractWe introduce a covering notion depending on two cardinals, which we call O-[μ,λ]-compactness...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
A Tychonoff space $X$ is called $\kappa$-pseudocompact if for every continuous mapping $f$ of $X$ in...
summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper...
summary:Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseu...
AbstractWe consider the following question of Ginsburg: Is there any relationship between the pseudo...
summary:In this paper, we study some properties of relatively strong pseudocompactness and mainly sh...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
AbstractExamples of a pseudocompact (even countably compact) G-space which is not G-Tychonoff and of...
AbstractThere is a model of set theory in which all compact spaces of weight at most ω2 are pseudora...
AbstractWe investigate two properties and their connection to the property of pseudoradiality in the...
Given an uncountable cardinal ℵ, the product space Iℵ, I=[0,1], is called a Tychonoff cube. A collec...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
AbstractFor a locally pseudocompact space X letζX=X∪clβX(βX\υX). It is proved that ζX is the largest...
[EN] A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer ps...
AbstractWe introduce a covering notion depending on two cardinals, which we call O-[μ,λ]-compactness...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
A Tychonoff space $X$ is called $\kappa$-pseudocompact if for every continuous mapping $f$ of $X$ in...
summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper...
summary:Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseu...
AbstractWe consider the following question of Ginsburg: Is there any relationship between the pseudo...
summary:In this paper, we study some properties of relatively strong pseudocompactness and mainly sh...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
AbstractExamples of a pseudocompact (even countably compact) G-space which is not G-Tychonoff and of...
AbstractThere is a model of set theory in which all compact spaces of weight at most ω2 are pseudora...
AbstractWe investigate two properties and their connection to the property of pseudoradiality in the...
Given an uncountable cardinal ℵ, the product space Iℵ, I=[0,1], is called a Tychonoff cube. A collec...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...