summary:It is shown that if $C_p(X)$ admits a closure-preserving cover by closed $\sigma$-compact sets then $X$ is finite. If $X$ is compact and $C_p(X)$ has a closure-preserving cover by separable subspaces then $X$ is metrizable. We also prove that if $C_p(X,[0,1])$ has a closure-preserving cover by compact sets, then $X$ is discrete
Abstract. We introduce the class of countably I-compact spaces as a proper subclass of countably S-c...
AbstractThe main results of the paper are:(1)If X is metrizable but not locally compact topological ...
AbstractThis paper studies the C-compact-open topology on the set C(X) of all real-valued continuous...
summary:It is shown that if $C_p(X)$ admits a closure-preserving cover by closed $\sigma$-compact se...
AbstractIn 1971 H. Tamano asked the question: Is a space X paracompact if X has a closure-preserving...
For a Tychonoff space X, we denote by Cp(X) and Cc(X) the space of continuous real-valued functions ...
Abstract. We investigate some closure properties of the space C(X) of the continuous real-valued fun...
In 1975 Junni1a and Potoczny [6J and Katuta [2J inde pendently showed that, if a space X has a c1osu...
[EN] In this paper we investigate some closure properties of the space Ck(X) of continuous real-valu...
In this paper, we prove the following results: (1) if a topological space X has a pair-countable, cl...
Abstract. We prove that if X is a σ-compact Polish space, then the space Ck(X) of all continuous rea...
This paper studies the C-compact-open topology on the set C(. X) of all real-valued continuous funct...
summary:We call a function $f\colon X\to Y\,$ P-preserving if, for every subspace $A \subset X$ with...
AbstractIn [7], Tamano raised the question of whether or not a space which admits a closure- preserv...
There are shown some implications from pseudocompactness to compactness or sequential compactness. T...
Abstract. We introduce the class of countably I-compact spaces as a proper subclass of countably S-c...
AbstractThe main results of the paper are:(1)If X is metrizable but not locally compact topological ...
AbstractThis paper studies the C-compact-open topology on the set C(X) of all real-valued continuous...
summary:It is shown that if $C_p(X)$ admits a closure-preserving cover by closed $\sigma$-compact se...
AbstractIn 1971 H. Tamano asked the question: Is a space X paracompact if X has a closure-preserving...
For a Tychonoff space X, we denote by Cp(X) and Cc(X) the space of continuous real-valued functions ...
Abstract. We investigate some closure properties of the space C(X) of the continuous real-valued fun...
In 1975 Junni1a and Potoczny [6J and Katuta [2J inde pendently showed that, if a space X has a c1osu...
[EN] In this paper we investigate some closure properties of the space Ck(X) of continuous real-valu...
In this paper, we prove the following results: (1) if a topological space X has a pair-countable, cl...
Abstract. We prove that if X is a σ-compact Polish space, then the space Ck(X) of all continuous rea...
This paper studies the C-compact-open topology on the set C(. X) of all real-valued continuous funct...
summary:We call a function $f\colon X\to Y\,$ P-preserving if, for every subspace $A \subset X$ with...
AbstractIn [7], Tamano raised the question of whether or not a space which admits a closure- preserv...
There are shown some implications from pseudocompactness to compactness or sequential compactness. T...
Abstract. We introduce the class of countably I-compact spaces as a proper subclass of countably S-c...
AbstractThe main results of the paper are:(1)If X is metrizable but not locally compact topological ...
AbstractThis paper studies the C-compact-open topology on the set C(X) of all real-valued continuous...
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