AbstractWe investigate completely regular spaces X such that for any sequence (xn) in βX⧹X there exists a real continuous function on βX which is positive on X and vanishes on some subsequence of (xn). Applications to spaces of continuous functions C(X,E) are included
In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of line...
AbstractFor a Tychonoff space X, we denote by Cp(X) the space of all real-valued continuous function...
In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of lin...
AbstractWe solve the long standing problem of characterizing those Tychonov spaces X for which the f...
AbstractVery recently Tkachuk has proved that for a completely regular Hausdorff space X the space C...
AbstractWe say that a pair of topological spaces (X,Y) is good if for every A⫅X and every continuous...
For each cardinal κ we construct an infinite κ-bounded (and hence countably compact) regular space R...
summary:We prove that any Baire-one usco-bounded function from a metric space to a closed convex sub...
A topological space $X$ is Baire if the Baire Category Theorem holds for $X$, i.e., the intersection...
AbstractThe topology we give a set F of real functions is determined not by ε-balls, with ε>0, but b...
For $X$ a Hausdorff zero-dimensional topological space and $E$ a Hausdorff non-Archimedean locally ...
AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-o...
AbstractWe prove that if K is a Corson compact then every continuous mapping ƒ:X → C(K) from any Bai...
AbstractIt is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urys...
Let Y be a metrizable space containing at least two points, and let X be a YI-Tychonoff space for so...
In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of line...
AbstractFor a Tychonoff space X, we denote by Cp(X) the space of all real-valued continuous function...
In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of lin...
AbstractWe solve the long standing problem of characterizing those Tychonov spaces X for which the f...
AbstractVery recently Tkachuk has proved that for a completely regular Hausdorff space X the space C...
AbstractWe say that a pair of topological spaces (X,Y) is good if for every A⫅X and every continuous...
For each cardinal κ we construct an infinite κ-bounded (and hence countably compact) regular space R...
summary:We prove that any Baire-one usco-bounded function from a metric space to a closed convex sub...
A topological space $X$ is Baire if the Baire Category Theorem holds for $X$, i.e., the intersection...
AbstractThe topology we give a set F of real functions is determined not by ε-balls, with ε>0, but b...
For $X$ a Hausdorff zero-dimensional topological space and $E$ a Hausdorff non-Archimedean locally ...
AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-o...
AbstractWe prove that if K is a Corson compact then every continuous mapping ƒ:X → C(K) from any Bai...
AbstractIt is well known that the space Cp([0,1]) has countable tightness but it is not Fréchet–Urys...
Let Y be a metrizable space containing at least two points, and let X be a YI-Tychonoff space for so...
In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of line...
AbstractFor a Tychonoff space X, we denote by Cp(X) the space of all real-valued continuous function...
In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of lin...
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