AbstractThe concept of uniform regularity is studied. Every quiet quasi-uniform space is uniformly regular, and every point symmetric uniformly regular quasi-uniform space that is complete (in the sense of Doitchinov) is quiet. Every Lebesgue quasi-uniformity (in particular every compact quasi-uniformity) that is uniformly regular is quiet. Every continuous quasi-metric is uniformly regular, but the Michael line has a continuous quasi-metric that is not quiet
R. Stoltenberg characterized in [2] those quasi-uniformities which are quasi-pseudometrizable, as we...
This is a continuation of the work where the notions of Lebesgue uniformity and Lebesgue quasi unifo...
In a previous paper [Sun95b], we described a function space constructor for complete totally bounded...
AbstractThe concept of uniform regularity is studied. Every quiet quasi-uniform space is uniformly r...
Dedicated to the memory of Professor D. Doitchinov Abstract. We present the original proof, based on...
ABSTRACT. We present a short proof of the following result due to P. Fletcher and W. Hunsaker: Each ...
AbstractWe define a notion of completion for quasi-uniform spaces in a categorical manner, and const...
We generalize the notions of quietness and semisymmetry defined by Doitchinov (1991) and Deák (...
We present the original proof, based on the Doitchinov completion, that a totally bounded quiet qua...
AbstractThis paper considers three kinds of completeness: D-completeness, strong D-completeness, and...
Summary.- We show that every locally compact quasi-metrizable Moore space admits a uniformly locally...
The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting ...
The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an i...
AbstractIt is proved that each infinite completely regular Hausdorff space admits a nontransitive to...
summary:We characterize those Tychonoff quasi-uniform spaces $(X,\mathcal {U})$ for which the Hausdo...
R. Stoltenberg characterized in [2] those quasi-uniformities which are quasi-pseudometrizable, as we...
This is a continuation of the work where the notions of Lebesgue uniformity and Lebesgue quasi unifo...
In a previous paper [Sun95b], we described a function space constructor for complete totally bounded...
AbstractThe concept of uniform regularity is studied. Every quiet quasi-uniform space is uniformly r...
Dedicated to the memory of Professor D. Doitchinov Abstract. We present the original proof, based on...
ABSTRACT. We present a short proof of the following result due to P. Fletcher and W. Hunsaker: Each ...
AbstractWe define a notion of completion for quasi-uniform spaces in a categorical manner, and const...
We generalize the notions of quietness and semisymmetry defined by Doitchinov (1991) and Deák (...
We present the original proof, based on the Doitchinov completion, that a totally bounded quiet qua...
AbstractThis paper considers three kinds of completeness: D-completeness, strong D-completeness, and...
Summary.- We show that every locally compact quasi-metrizable Moore space admits a uniformly locally...
The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting ...
The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an i...
AbstractIt is proved that each infinite completely regular Hausdorff space admits a nontransitive to...
summary:We characterize those Tychonoff quasi-uniform spaces $(X,\mathcal {U})$ for which the Hausdo...
R. Stoltenberg characterized in [2] those quasi-uniformities which are quasi-pseudometrizable, as we...
This is a continuation of the work where the notions of Lebesgue uniformity and Lebesgue quasi unifo...
In a previous paper [Sun95b], we described a function space constructor for complete totally bounded...
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