In this paper the nonstandard theory of uniform topological spaces isapplied with two main objectives: (1) to give a nonstandard treatmentof Bernstein’s concept of p-compactness with additional results, (2) tointroduce three new concepts (p,q)-compactness, p-totally boundednessand p-completeness. I prove some facts about them and how these threeconcepts are related with p-compactness
summary:For $\emptyset \neq M \subseteq \omega^*$, we say that $X$ is quasi $M$-compact, if for ever...
AbstractBy a space we shall mean a completely regular Hausdorff space. A uniformity Φ of a space X i...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
[EN] In this paper the nonstandard theory of uniform topological spaces isapplied with two main obje...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
Abstract. We discuss the relationship between p-boundedness and quasi-p-boundedness in the realm of ...
We prove some basic properties of p-bounded subsets (p epsilon omega) in terms of z-ultrafilters and...
Recently two new types of completeness in metric spaces, called Bourbaki-completeness and cofinal Bo...
AbstractMany of earlier and recent results obtained for p-spaces and their relatives can be extended...
We study some topological and uniform properties of hhyperspaces (completeness and countably compact...
Abstract. The countable uniform power (or uniform box product) of a uni-form space X is a special to...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
summary:The statement in the title solves a problem raised by T. Retta. We also present a variation ...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
AbstractWe show that a metrizable topological space X is completely metrizable if and only if it adm...
summary:For $\emptyset \neq M \subseteq \omega^*$, we say that $X$ is quasi $M$-compact, if for ever...
AbstractBy a space we shall mean a completely regular Hausdorff space. A uniformity Φ of a space X i...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
[EN] In this paper the nonstandard theory of uniform topological spaces isapplied with two main obje...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
Abstract. We discuss the relationship between p-boundedness and quasi-p-boundedness in the realm of ...
We prove some basic properties of p-bounded subsets (p epsilon omega) in terms of z-ultrafilters and...
Recently two new types of completeness in metric spaces, called Bourbaki-completeness and cofinal Bo...
AbstractMany of earlier and recent results obtained for p-spaces and their relatives can be extended...
We study some topological and uniform properties of hhyperspaces (completeness and countably compact...
Abstract. The countable uniform power (or uniform box product) of a uni-form space X is a special to...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
summary:The statement in the title solves a problem raised by T. Retta. We also present a variation ...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
AbstractWe show that a metrizable topological space X is completely metrizable if and only if it adm...
summary:For $\emptyset \neq M \subseteq \omega^*$, we say that $X$ is quasi $M$-compact, if for ever...
AbstractBy a space we shall mean a completely regular Hausdorff space. A uniformity Φ of a space X i...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
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