On pairwise fuzzy almost P-spaces
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In this paper, the concept of pairwise fuzzy almost P-space is introduced by means of pairwise fuzzy Gδ-sets. Several characterizations of pairwise fuzzy almost P-spaces are obtained. The conditions for the pairwise fuzzy submaximal spaces to become pairwise fuzzy almost P-spaces are established. It is shown that the pairwise fuzzy strongly irresolvable and pairwise fuzzy almost P-spaces are pairwise fuzzy irresolvable spaces. The condition for the pairwise fuzzy almost P-spaces to become pairwise fuzzy σ-second category spaces and pairwise fuzzy weakly Volterra spaces are also established.
Abstract
In this paper, the concept of pairwise fuzzy almost P-space is introduced by means of pairwise fuzzy Gδ-sets. Several characterizations of pairwise fuzzy almost P-spaces are obtained. The conditions for the pairwise fuzzy submaximal spaces to become pairwise fuzzy almost P-spaces are established. It is shown that the pairwise fuzzy strongly irresolvable and pairwise fuzzy almost P-spaces are pairwise fuzzy irresolvable spaces. The condition for the pairwise fuzzy almost P-spaces to become pairwise fuzzy σ-second category spaces and pairwise fuzzy weakly Volterra spaces are also established.
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