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NEARLY LINDELÖFNESS IN BITOPOLOGICAL SPACES
South East Asian Journal of Mathematics and Mathematical SciencesThe concept of nearly pairwise Lindelöf spaces, a well-known weaker form of Lindelöf spaces, was introduced by Katetov and L. Krajewski in [11, 12] and has since been extensively explored by numerous researchers. This paper investigates the same concept in the context of a specific type of cover, referred to as a regular cover.
Jamal Oudetallah +2 more
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2017
A bitopological space (X,τ,μ) is a set X with two topologies. The study of bitopological spaces was initiated by J. C. Kelly. In this thesis, we study pairwise-separation axioms as defined by J. C. Kelly, C. W. Patty, and F. P. Lane. In addition, definitions for semi-compactness, semi-paracompactness, and bicontinuous functions are proposed and are ...
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A bitopological space (X,τ,μ) is a set X with two topologies. The study of bitopological spaces was initiated by J. C. Kelly. In this thesis, we study pairwise-separation axioms as defined by J. C. Kelly, C. W. Patty, and F. P. Lane. In addition, definitions for semi-compactness, semi-paracompactness, and bicontinuous functions are proposed and are ...
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Problems of the theory of bitopological spaces. II
1995The first part [Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 167, 5-62 (1988; Zbl 0685.54019)] of this work covers the period until 1986 inclusive and part of 1987. The second part, which we present here, mainly concerns the papers published in 1987-1990. It also replenishes the gaps concerning earlier papers, and touches some papers published
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Regularity for bitopological spaces
Publicationes Mathematicae Debrecen, 2022openaire +1 more source
Bitopological Spaces and Quasi-Uniform Spaces
Proceedings of the London Mathematical Society, 1967openaire +1 more source
S-closedness in bitopological spaces
1982S-closedness is introduced and investigated in bitopological spaces. A topological space (X,T) is S-closed if for every semi-open cover \(\{U_{\alpha}| \alpha \in A\}\) of X, there exists a finite subset B of A such that \(X=\cup \{\bar U_{\alpha}| \alpha \in B\}\) [\textit{T. Thompson}, Proc. Am. Math. Soc. 60, 335-338 (1977; Zbl 0339.54020)].
Mashhour, A. S. +3 more
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