Results 1 to 10 of about 83 (77)
Neutrosophic Fuzzy Pairwise Local Function and Its Application [PDF]
Neutrosophic Sets and Systems, 2022 In this paper we introduce the notion of neutrosophic fuzzy bitopological ideals. The concept of neutrosophic fuzzy pairwise local function is also introduced here by utilizing the neutrosophic quasi-coincident neighbourhood structure in a neutrosophic ...
A. A. Salam +2 more
doaj +2 more sources
The Reverse Operation Of Knot Digraph Notation
ITM Web of Conferences, 2018 It is well known that bitopologies associated with knot digraphs is finded by using knot digraph notation. In this work, we have developed a method that we called reverse of knot digraph notation to find out which knot belongs to when a bitopology ...
UĞUR Tamer +2 more
doaj +3 more sources
OnCℵ-Fibrations in Bitopological Semigroups
TheScientificWorldJournal, 2014 Extendemos la propiedad de levantamiento de caminos en la teoría de homotopía para espacios topológicos a semigrupos bitopológicos y mostramos y probamos su papel en la propiedad de fibración C(). Damos y probamos la relación entre la propiedad de la fibración C() y una propiedad de fibración aproximada.
Suliman Dawood, Adem Kılıçman
openaire +3 more sources
Topology and its Applications, 2005 For the construction of realcompact pairwise extensions of a bitopological space, the authors consider strong interrelations between topologies, introduced by them in [Topology Appl. 42, 1--16 (1991; Zbl 0784.54033)]. Namely, a bitopological space \((X,\tau_1,\tau_2)\) has the property that \(\tau_1\) is a fine cotopology of \(\tau_2\) if (C0) \(\tau_1\
Aarts, Jan M., Mršević, Mila
openaire +2 more sources
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
openaire +2 more sources
A new bitopological paracompactness [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1986 AbstractIn this paper we define generalization of paracompactness for bitopological spaces. (X, τ1, τ2) is Δ-pairwise paracompact if and only if every τi open cover admits a τ1 ∨ τ2 open refinement which is τ1 ∨ τ2 locally finite. Every quasimetric space (X, τp, τq) is Δ-pairwise paracompact.
Raghavan, T. G., Reilly, I. L.
openaire +2 more sources
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 ...
openaire +2 more sources
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
openaire +2 more sources
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
openaire +3 more sources
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
openaire +1 more source