Bitopological Spaces

DOI10.1112/plms/s3-13.1.71zbMath0107.16401OpenAlexW4238617164WikidataQ107008242 ScholiaQ107008242MaRDI QIDQ3293844

James C. Kelly

Publication date: 1963

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-13.1.71

zbMATH Keywords

topology

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Generalized fuzzy closed sets in a fuzzy bitopological space via \(\gamma \)-open sets ⋮ \(\mathcal{I}P\)-separation axioms in ideal bitopological ordered spaces. II. ⋮ New types of continuity and openness in fuzzifying bitopological spaces ⋮ Some bitopological concepts based on the alternative effects of closure and interior operator ⋮ Join-continuous frames, Priestley's duality and biframes ⋮ Ditopological texture spaces and fuzzy topology. 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III: Separation axioms ⋮ Asymmetry and duality in topology ⋮ Quasi-uniform completeness in terms of Cauchy nets ⋮ Lattice-valued topological systems as a framework for lattice-valued formal concept analysis ⋮ Some results on fuzzy compact spaces ⋮ Certain properties of bitopological spaces ⋮ The manifold of topologies and the topology of a manifold ⋮ Best proximity point theorem in quasi-pseudometric spaces ⋮ On pairwise Lindelöf bitopological spaces ⋮ Contractions, Fredholm operators and the cohomology of vector bundles on Hopf manifolds ⋮ Convexity and quasi-uniformizability of closed preordered spaces ⋮ On the algebraic representation of semicontinuity ⋮ Nonlinear proximinal multivalued contractions on quasi-metric spaces ⋮ New completeness and periodic points of discontinuous contractions of Banach-type in quasi-gauge spaces without Hausdorff property ⋮ \((\tau_1, \tau_2)^\ast\)-generalized star regular closed sets ⋮ Towards the theory of \(\mathbb M\)-approximate systems: Fundamentals and examples ⋮ Mappings on pairwise para-lindelöf bitopological spaces ⋮ Generalized closed sets with respect to an ideal in bitopological spaces ⋮ Pairwise weakly and pairwise strongly irresolute functions ⋮ Generalized semi-closed functions and semi-generalized closed functions in bitopological spaces ⋮ Interpolating functions ⋮ Cocompactness and quasi-uniformizability of completely metrizable spaces. ⋮ \(\Lambda\)-generalized closed sets with respect to an ideal bitopological space ⋮ Completeness of hyperspaces of compact subsets of quasi-metric spaces ⋮ Quasi-pseudo-metrization of topological preordered spaces ⋮ Perfect duality for convexlike programs ⋮ Cauchy sequences in quasi-pseudo-metric spaces ⋮ Some of Melvin Henriksen's contributions to spaces of ideals ⋮ The reals as full and balanced biframe ⋮ The quasimetrization problem in the (bi)topological spaces ⋮ Variational principles, completeness and the existence of traps in behavioral sciences ⋮ Geodesics in asymmetric metric spaces ⋮ Pairwise weakly regular-Lindelöf spaces ⋮ A bitopological view on cocompact extensions ⋮ Closed graph and open mapping theorems for normed cones ⋮ Fuzzy quasi uniformities and fuzzy bitopological spaces ⋮ A new approach for some applications of generalized fuzzy closed sets ⋮ Some fixed point results for multivalued \(F\)-contractions on quasi metric spaces ⋮ A note on extremal disconnectedness in bitopological spaces ⋮ Sequentially dinormal ditopological texture spaces and dimetrizability ⋮ Pairwise \(k\)-semi-stratifiable bispaces and topological ordered spaces ⋮ Which topologies are quasimetrizable? ⋮ On bicomplete quasi-pseudometrizability ⋮ On non-Hausdorff spaces ⋮ On strong inclusions and asymmetric proximities in frames ⋮ Composite variety-based topological theories ⋮ On statistical convergence in quasi-metric spaces ⋮ Regularity and variationality of solutions to Hamilton-Jacobi equations. 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