2017/01/11 by LI Ke-dian, Li, Kedian, Jiling Cao +1
Decision Sciences · Mathematics · #06F99 #54E20 #54E55 (Primary) #54F05 (Secondary) #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1701.02845
openalex publication_date 2017/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we continue to study pairwise (k-semi-)stratifiable bitopological spaces. Some new characterizations of pairwise k-semi-stratifiable bitopological spaces are provided. Relationships between pairwise stratifiable and pairwise k-semi-stratifiable bitopological spaces are further investigated, and an open question recently posed by Li and Lin in \citeLL is completely solved. We also study the quasi-pseudo-metrizability of a topological ordered space (X, τ, \preccurlyeq). It is shown that if (X, τ, \preccurlyeq) is a ball transitive topological ordered C- and I-space such that τ is metrizable, then its associated bitopological space (X,τ\flat,τ\natural) is quasi-pseudo-metrizable. This result provides a partial affirmative answer to a problem in \citeKM.