On Nearly Pairwise Compact Spaces

Products of Nearly Compact Spaces

On pairwise weakly Lindelof bitopological spaces

In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.

On αψ –Compact Spaces

The objective of this paper is to obtain the properties of αψcompact spaces by using nets, filterbase, αψ-complete accumulation points and so on. We also investigate some properties of αψ-continuous multifunctions and αψ-compact spaces in the context of multifunction.

Pairwise Fuzzy Globally Disconnected Spaces and Pairwise Fuzzy - Baire Spaces

In this paper, the concept of pairwise fuzzy globally disconnected spaces is introduced and studied. The condition under which pairwise fuzzy globally disconnected spaces become pairwise fuzzy -Baire spaces, is established. Several characterizations of pairwise fuzzy globally disconnected spaces, are obtained.

On function spaces of Corson-compact spaces

We apply elementary substructures to characterize the space Cp(X) for Corsoncompact spaces. As a result, we prove that a compact space X is Corson-compact, if Cp(X) can be represented as a continuous image of a closed subspace of (Lτ ) × Z, where Z is compact and Lτ denotes the canonical Lindelöf space of cardinality τ with one non-isolated point. This answers a question of Archangelskij [2].