[EN] 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.Vera Mendoza, R. (2011). p-Compact, p-Bounded and p-Complete. Applied General Topology. 12(1):17-25. doi:10.4995/agt.2011.1697.SWORD172512
summary:The statement in the title solves a problem raised by T. Retta. We also present a variation ...
Abstract. The countable uniform power (or uniform box product) of a uni-form space X is a special to...
AbstractWe show that a metrizable topological space X is completely metrizable if and only if it adm...
In this paper the nonstandard theory of uniform topological spaces isapplied with two main objective...
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...
summary:For $\emptyset \neq M \subseteq \omega^*$, we say that $X$ is quasi $M$-compact, if for ever...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
summary:For every topological property $\Cal P$, we define the class of $\Cal P$-approximable spaces...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We study some topological and uniform properties of hhyperspaces (completeness and countably compact...
Super compactness is a property of topological spaces that generalizes the concept of compactness. A...
summary:The statement in the title solves a problem raised by T. Retta. We also present a variation ...
Abstract. The countable uniform power (or uniform box product) of a uni-form space X is a special to...
AbstractWe show that a metrizable topological space X is completely metrizable if and only if it adm...
In this paper the nonstandard theory of uniform topological spaces isapplied with two main objective...
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...
summary:For $\emptyset \neq M \subseteq \omega^*$, we say that $X$ is quasi $M$-compact, if for ever...
This chapter discusses what completely regular space (X) can be characterized by the fact that some,...
summary:For every topological property $\Cal P$, we define the class of $\Cal P$-approximable spaces...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We study some topological and uniform properties of hhyperspaces (completeness and countably compact...
Super compactness is a property of topological spaces that generalizes the concept of compactness. A...
summary:The statement in the title solves a problem raised by T. Retta. We also present a variation ...
Abstract. The countable uniform power (or uniform box product) of a uni-form space X is a special to...
AbstractWe show that a metrizable topological space X is completely metrizable if and only if it adm...