Add to ORKGWe introduce the notion of uniform paracompactness to uniform frames and give several characterisations thereof. In another context, we show that the locally fine reflector commutes with the completion in the category of strong nearness frames. Mathematics Subject Classification (2000): 06D22, 54D20. Key words: Frames, uniform frames, nearness frames, paracompactness.Quaestiones Mathematicae 27(2004), 9-2
Quasi-completeness was considered in [16], where a quasi-completion was constructed for any quasi-ne...
summary:This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and...
summary:A bijective correspondence between strong inclusions and compactifications in the setting of...
AbstractIn this article we define paracompact and locally fine nearness frames and show that they fo...
We study the uniform connection properties of uniform local connectedness, a weaker variant of the l...
Partial frames provide a rich context in which to do pointfree structured and unstructured topology....
Bibliography: leaves 99-106.We introduce and investigate the concept of a nearness structure on a σ-...
AbstractThe vital role played by the cozero part of a completely regular, and hence uniformizable, f...
summary:We introduce the structure of a nearness on a $\sigma $-frame and construct the coreflection...
AbstractPrecompactness or total boundedness for uniform frames is usually distinguished by a cover a...
summary:A locallic version of Hager's metric-fine spaces is presented. A general definition of $\Cal...
summary:Through the study of frame congruences, new characterizations of the paracompactness of fram...
We give a new notion of a complete uniform spread in terms of a relative kind of uniform local conne...
In this paper we present a theory of quasi-uniformities for frames in terms of entourage that is, sp...
Thesis (M.Sc.)-University of Durban-Westvile, 1998.The concept of a frame was introduced in the mid-...
Quasi-completeness was considered in [16], where a quasi-completion was constructed for any quasi-ne...
summary:This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and...
summary:A bijective correspondence between strong inclusions and compactifications in the setting of...
AbstractIn this article we define paracompact and locally fine nearness frames and show that they fo...
We study the uniform connection properties of uniform local connectedness, a weaker variant of the l...
Partial frames provide a rich context in which to do pointfree structured and unstructured topology....
Bibliography: leaves 99-106.We introduce and investigate the concept of a nearness structure on a σ-...
AbstractThe vital role played by the cozero part of a completely regular, and hence uniformizable, f...
summary:We introduce the structure of a nearness on a $\sigma $-frame and construct the coreflection...
AbstractPrecompactness or total boundedness for uniform frames is usually distinguished by a cover a...
summary:A locallic version of Hager's metric-fine spaces is presented. A general definition of $\Cal...
summary:Through the study of frame congruences, new characterizations of the paracompactness of fram...
We give a new notion of a complete uniform spread in terms of a relative kind of uniform local conne...
In this paper we present a theory of quasi-uniformities for frames in terms of entourage that is, sp...
Thesis (M.Sc.)-University of Durban-Westvile, 1998.The concept of a frame was introduced in the mid-...
Quasi-completeness was considered in [16], where a quasi-completion was constructed for any quasi-ne...
summary:This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and...
summary:A bijective correspondence between strong inclusions and compactifications in the setting of...