Fuzzification of Strongly Compact and Locally Strongly Compact Spaces

TL;DR

This paper explores new characterizations of fuzzifying strong and locally strong compactness using nets, pre-subbases, and mappings, advancing the understanding of fuzzifying topological properties.

Contribution

It introduces novel characterizations of fuzzifying strong and locally strong compactness, including properties related to nets and pre-subbases, and examines mappings in fuzzifying topology.

Findings

New characterizations of fuzzifying strong compactness

Characterizations of locally strong compactness in fuzzifying topology

Analysis of mappings in fuzzifying topological spaces

Abstract

In this paper, we study some characterizations of fuzzifying strong compactness including nets and pre-subbases properties. We also introduve new characterizations of locally strong compactness in fuzzifying topology and mappings.