Results 31 to 40 of about 68 (68)

Variations of classical selection principles: an overview

open access: yes, 2020
The paper is an overview of selected results on weaker forms of classical selection principles of Menger, Hurewicz, Rothberger and Gerlits-Nagy obtained in the last few years.
Kočinac, Ljubiša D.R.
core  

Weaker forms of the Menger property in Bitopological spaces

open access: yes, 2018
In this paper we continue previous investigations on the weaker forms of the Menger property in bitopological spaces. We introduce weakly Menger property and study some topological properties of almost and weakly Menger bitopological spaces.
Eysen, A. Erme, Ozcag, Selma
core  

Some notes on Quasi-Lindelof spaces

open access: yes, 2017
In this note we address a problem that was suggested by Petra Staynova in [6] regarding quasi-Lindelof spaces, and continue to study topological properties of quasi-Lindelof spaces.
Song, Yan-Kui
core  

Notes on Uniform Frames

open access: yes, 2004
We 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 ...
Dube, Themba
core  

Stably Continuous σ- Frames

open access: yes, 2004
It is shown that the categories of stably continuous σ-frames and compact regular σ-biframes are equivalent. This is the analogue of Banaschewski and Brümmer [1], linking the stably continuous frames and compact regular biframes ...
Matutu, Phethiwe
core  

On τ−covers using ideals and some of its consequences

open access: yes, 2019
In this paper we primarily introduce an ideal version of τ-covers studied in [18, 19]. We establish the inter-relationships between I-τ-covers and I-γ , I-large [3, 5] and κ-covers[2, 7].
Chandra, Debraj   +2 more
core  

A note on weakly Lindelöf frames

open access: yes, 2018
The notion of σ*-properness of a subset of a frame is introduced. Using this notion, we give necessary and sufficient conditions for a frame to be weakly Lindelöf .
Abedi, Mostafa
core  

Spread Uniformities and Uniform Spreads

open access: yes, 2004
We discuss a point free analog of the topological fact that every uniformly continuous function on a dense subspace of a uniform space into a complete uniform space has a unique continuous extension. It is shown that a uniform frame homomorphism h:
Siweya, Hlengani J
core  

Remarks on w-domination of discrete subspaces

open access: yes, 2019
Given a space X, we will say that a class A of subsets of X is dominated by a class B if for any A ∈ A, there exists a B ∈ B such that A ⊂ B̅. In particular, all (closed) discrete subsets of X are countably dominated (which we frequently abbreviate as w ...
Xuan, Wei-Feng, Song, Yan-Kui
core  

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