AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a collection to be realcompact are given. Theorems concerning commutation of products and the Hewitt realcompactification are proved by means of function spaces. As corollaries, some results concerning z-closed projections and products of k-spaces are obtained
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
For a Tychonoff space $X$ we denote by $C_p(X)$ the space of all real-valued continuous functions on...
AbstractA hyperspace construction is shown to yield a theorem, with a one-line proof, one of the cor...
AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a ...
A Tychonoff space $X$ is called $\kappa$-pseudocompact if for every continuous mapping $f$ of $X$ in...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
summary:Various characterizations of realcompactness are transferred to uniform spaces giving non-eq...
In this paper we introduce a realcompactification for any metric space (X, d), defined by means of t...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractSeveral theorems are presented on the relation υ(X × Y) = υX × υ Y; the proofs use the idea ...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
Two classes of spaces are studied, namely locally realcompact spaces and HN- complete spaces, where ...
AbstractGiven a space (X, ˕) and a class Σ of spaces, we study the topologies comparable to ˕ which ...
AbstractWe generalize and refine results from the author's paper [18]. For a completely regular Haus...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
For a Tychonoff space $X$ we denote by $C_p(X)$ the space of all real-valued continuous functions on...
AbstractA hyperspace construction is shown to yield a theorem, with a one-line proof, one of the cor...
AbstractNecessary and sufficient conditions for uniformities of uniform convergence on members of a ...
A Tychonoff space $X$ is called $\kappa$-pseudocompact if for every continuous mapping $f$ of $X$ in...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
summary:Various characterizations of realcompactness are transferred to uniform spaces giving non-eq...
In this paper we introduce a realcompactification for any metric space (X, d), defined by means of t...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractSeveral theorems are presented on the relation υ(X × Y) = υX × υ Y; the proofs use the idea ...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
Two classes of spaces are studied, namely locally realcompact spaces and HN- complete spaces, where ...
AbstractGiven a space (X, ˕) and a class Σ of spaces, we study the topologies comparable to ˕ which ...
AbstractWe generalize and refine results from the author's paper [18]. For a completely regular Haus...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
For a Tychonoff space $X$ we denote by $C_p(X)$ the space of all real-valued continuous functions on...
AbstractA hyperspace construction is shown to yield a theorem, with a one-line proof, one of the cor...
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