Near compactness and separability of symmetrizable spaces

COUNTABLY NEAR PS-COMPACTNESS IN L-TOPOLOGICAL SPACES

In this paper, the concept of countably near PS-compactness inL-topological spaces is introduced, where L is a completely distributive latticewith an order-reversing involution. Countably near PS-compactness is definedfor arbitrary L-subsets and some of its fundamental properties are studied.

Near S*-Compactness in L-Topological Spaces

The notion of near S *-compactness is introduced in L-topological spaces based on S *-compactness. Its properties are researched and the relations between it and other near compactness are obtained. Moreover many characterizations of near S *-compactness are presented. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dist...

Topology Proceedings 5 (1980) pp. 59-69: SEPARABILITY IN NEARLY COMPACT SYMMETRIZABLE SPACES

countably near ps-compactness in l-topological spaces

in this paper, the concept of countably near ps-compactness inl-topological spaces is introduced, where l is a completely distributive latticewith an order-reversing involution. countably near ps-compactness is definedfor arbitrary l-subsets and some of its fundamental properties are studied.

SOME PROPERTIES OF NEAR SR-COMPACTNESS

In this paper, we study some properties of the near SR-compactnessin L-topological spaces, where L is a fuzzy lattice. The near SR-compactness isa kind of compactness between Lowen’s fuzzy compactness and SR-compactness,and it preserves desirable properties of compactness in general topologicalspaces.