AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact space X of size ω2. The one-point compactification of X is a non-first countable compactum without any (non-trivial) converging ω1-sequence
AbstractIt is proved that the Smirnov compactification functor σ:PROX→COMP (which relates to any pro...
The intuitive notion of forming a compactification of a topological space is to “attach” new points ...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact sp...
AbstractA general construction for creating first countable pseudo-compact extensions of certain spa...
AbstractImproving a result of M. Rabus we force a normal, locally compact, 0-dimensional, Frechet-Ur...
AbstractWe show that it is consistent with the Continuum Hypothesis that first countable, countably ...
AbstractLet N∗ be the nonisolated points of the Stone-Čech compactification of the countable discret...
The Proper Forcing Axiom implies that compact Hausdorff spaces are either first-countable or contain...
summary:We define a compactum $X$ to be AB-compact if the {\it cofinality\/} of the character $\chi(...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
summary:We define a compactum $X$ to be AB-compact if the {\it cofinality\/} of the character $\chi(...
summary:We define a compactum $X$ to be AB-compact if the {\it cofinality\/} of the character $\chi(...
Throughout this paper all spaces are assumed to be completely regular and T1. A compactification αX ...
AbstractSome new results on relationships between cardinal invariants in compacta are obtained. We e...
AbstractIt is proved that the Smirnov compactification functor σ:PROX→COMP (which relates to any pro...
The intuitive notion of forming a compactification of a topological space is to “attach” new points ...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact sp...
AbstractA general construction for creating first countable pseudo-compact extensions of certain spa...
AbstractImproving a result of M. Rabus we force a normal, locally compact, 0-dimensional, Frechet-Ur...
AbstractWe show that it is consistent with the Continuum Hypothesis that first countable, countably ...
AbstractLet N∗ be the nonisolated points of the Stone-Čech compactification of the countable discret...
The Proper Forcing Axiom implies that compact Hausdorff spaces are either first-countable or contain...
summary:We define a compactum $X$ to be AB-compact if the {\it cofinality\/} of the character $\chi(...
The definition of first countable space is standard and its meaning is very clear. But is that the c...
summary:We define a compactum $X$ to be AB-compact if the {\it cofinality\/} of the character $\chi(...
summary:We define a compactum $X$ to be AB-compact if the {\it cofinality\/} of the character $\chi(...
Throughout this paper all spaces are assumed to be completely regular and T1. A compactification αX ...
AbstractSome new results on relationships between cardinal invariants in compacta are obtained. We e...
AbstractIt is proved that the Smirnov compactification functor σ:PROX→COMP (which relates to any pro...
The intuitive notion of forming a compactification of a topological space is to “attach” new points ...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
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