Diana Amin Mohammad Mahmoud, "On Pairwise Meta-P-Closed Spaces in Bitopological Spaces," WSEAS Transactions on Mathematics, vol. 25, pp. 306-308, 2026, DOI:10.37394/23206.2026.25.30
Diana Amin Mohammad Mahmoud. On Pairwise Meta-P-Closed Spaces in Bitopological Spaces.
WSEAS Transactions on Mathematics. 2026;25:306-308. 10.37394/23206.2026.25.30
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
On Pairwise Meta-P-Closed Spaces in Bitopological Spaces
Author:
Abstract: This study introduces the notion of pairwise meta-P-closed spaces, serving as a logical extension of pairwise P-closed spaces. It examines the inter connections among pairwise meta-P-closed, pairwise P-closed, and pairwise L-closed spaces, identifies their hereditary characteristics, and assesses their stability under pairwise homeomorphisms. Furthermore, we prove that every p.w.T2, pairwise regular, pairwise meta-P-closed bitopological space is pairwise normal under weaker covering assumptions than full paracompactness. Several characterizations and product results are obtained.
Keywords:
Pairwise meta-P-closed, pairwise P-closed, pairwise L-closed, pairwise-homeomorphism, pairwise-normality, meta-paracompactness
Pages: 306-308 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 25, 2026, Art. #30 DOI: 10.37394/23206.2026.25.30
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