Results 21 to 30 of about 48 (48)

Balanced and closed-generated filters in frames

open access: yes, 2004
We introduce the notions of balanced filters and closed-generated filters in frames and use them to give a new characterisation of normality for frames, and hence, due to normality being a conservative property, a new characterisation of normality for ...
Dube, Themba
core  

Some notes on connectedness in nearness frames

open access: yes, 2018
We study the uniform connection properties of uniform local connectedness, a weaker variant of the latter, and a certain property S in the context of nearness frames.
Mugochi, M.M., Baboolal, D.
core  

Completion of probabilistic uniform limit spaces

open access: yes, 2004
In this article completions of special probabilistic semiuniform convergence spaces are considered. It turns out that every probabilitic Cauchy space under a given t-norm T (triangular norm) has a completion which, in the special case of probabilistic ...
Nusser, Harald
core  

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  

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  

Smyth Completion as Bicompletion

open access: yes, 1997
We define a functor from topological quasi-uniform spaces and continuous, uniformly continuous maps to quasi-uniform spaces and uniformly continuous maps. This functor retains the same underlying Supported by the Deutsche Forschungsgemeinschaft.
Bob Flagg   +2 more
core  

Constructive Nonstandard Representations of Generalized Functions

open access: yes, 1998
Using techniques of nonstandard analysis Abraham Robinson showed that it is possible to represent each Schwartz distribution T as an integral T (OE) = R f OE, where f is some nonstandard smooth function.
Erik Palmgren
core  

On some parallelism between complete regularity and zero-dimensionality

open access: yes, 2018
We explore some parallelism between the categories CRFrm and 0DFrm of completely regular frames and zero-dimensional frames, respectively, with a view to establishing zero-dimensional analogues of C*-quotients.
Ighedo, Oghenetega, Mugochi, Martin M.
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  

Feebly Projectable Algebraic Frames and Multiplicative Filters of Ideals

open access: yes, 2008
In the article [MZ], the authors studied several conditions on an algebraic frame L. In particular, four properties called Reg(1), Reg(2), Reg(3), and Reg(4) were considered.
Warren Wm. Mcgovern, Michelle L. Knox
core  

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