Results 21 to 30 of about 48 (48)
Balanced and closed-generated filters in frames
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
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
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
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
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
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
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
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
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
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

