Results 21 to 30 of about 87 (77)
The Quasimetrization Problem in the (Bi)topological Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 It is our main purpose in this paper to approach the quasi‐pseudometrization problem in (bi)topological spaces in a way which generalizes all the well‐known results on the subject naturally, and which is close to a “Bing‐Nagata‐Smirnov style” characterization of quasi‐pseudometrizability.
Athanasios Andrikopoulos +1 more
wiley +1 more source
Cover quasi-uniformities in frames [PDF]
, 2011 Quasi-uniformities (not necessarily symmetric uniformities) are usually studied via entourages (special neighbourhoods of the diagonal in X×X) where one can simply forget about the symmetry requirement.
Picado, Jorge +3 more
core +1 more source
Quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 385-392, 2001., 2001 We determine conditions for quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces. We also study conditions for complete quasi‐pseudometrizability.
Koena Rufus Nailana
wiley +1 more source
A Hofmann–Mislove theorem for bitopological spaces
The Journal of Logic and Algebraic Programming, 2007 A `frame' is a complete lattice in which finite meets distribute over arbitrary joins. A frame homomorphism preserves finite meets and arbitrary joins leading to the category Frm. There is a dual adjunction between Top and Frm. With the duality between topological spaces and frames the authors have presented a Stone duality for bitopological spaces. In
Achim Jung, M. Andrew Moshier
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Projective bitopological spaces II. [PDF]
Journal of the Australian Mathematical Society, 1972 Gleason [3] proved that in the category G of compact Hausdorff spaces and continuous maps, the projective objects are precisely the extremally disconnected spaces contained in the category. Strauss [7] generalised this and proved that in the category G of regular Hausdorif spaces and perfect maps the projective objects are again precisely the ...
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AIMS Mathematics<p>A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces".
Hamza Qoqazeh +6 more
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Bitopology and Four-valued Logic
Electronic Notes in Theoretical Computer Science, 2016 AbstractBilattices and d-frames are two different kinds of structures with a four-valued interpretation. Whereas d-frames were introduced with their topological semantics in mind, the theory of bilattices has a closer connection with logic. We consider a common generalisation of both structures and show that this not only still has a clear ...
Tomas Jakl, Achim Jung, Ales Pultr
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On T0 fuzzy Bitopological spaces
Journal of Bangladesh Academy of Sciences, 2014 In this paper, the authors introduced two notions of fuzzy pairwise-T0 bitopological spaces and compared them with other such concepts. The authors also studied some other properties of these spaces. DOI: http://dx.doi.org/10.3329/jbas.v38i2.21345 Journal of Bangladesh Academy of Sciences, Vol. 38, No.
Amin, M. R., Ali, D. M., Hossain, M. S.
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Neutrosophic Bitopological Spaces
Neutrosophic Sets and Systems, 2019 In this study, bitopological structure which is a more general structure than topological spaces is built on neutrosophic sets. The necessary arguments which are pairwise neutrosophic open set, pairwise neutrosophic closed set, pairwise neutrosophic closure, pairwise neutrosophic interior are defined and their basic properties are presented.
Taha Yasin Ozturk, Alkan Ozkan
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Intuitionistic Smooth Bitopological Spaces and Continuity [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2014 In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.
Jin Tae Kim, Seok Jong Lee
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