Results 11 to 20 of about 87 (77)
A Work On Bitopologies Associated With Knots
, 2023 The bitopologies have been associated with some knots in the literature with the help of a method called the knot digraph notation. The knot graphs and quasi pseudo metric spaces were used to obtain these bitopologies.
ugur, tamer +2 more
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On Doitchinov's quietness for arbitrary quasi-uniform spaces [PDF]
, 2010 The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an interesting completion theory for this class ofquasi-uniform spaces.
Kivuvu, Charly Makitu
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Bitopological rough approximations with medical applications [PDF]
, 2010 In this paper, we introduce new generalizations concepts of lower and upper approximations of Pawlak rough sets by using two topological structures (bitopologies).
Salama, A.S.
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The diffeomorphism groups of the real line are pairwise bihomeomorphic [PDF]
, 2009 For an r=0,1,…,∞, by Dr(R), D+r(R), Dcr(R) we denote respectively the groups of Cr diffeomorphisms, orientation-preserving Cr diffeomorphisms, and compactly supported Cr diffeomorphisms of the real line.
Yagasaki, Tatsuhiko, Banakh, Taras
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Λr -sets and separation axioms [PDF]
, 2011 Separation axioms are among the most common and important and interesting concepts in topology as well as in bitopologies. In this paper, we introduce Λr-sets and some weak separation axioms using Λr -open sets and Λr -closure ...
Thangavelu, Periannan +3 more
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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
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A New Approach to Hausdorff Space Theory via the Soft Sets
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 The aim of this paper is to present the concept of soft bitopological Hausdorff space (SBT Hausdorff space) as an original study. Firstly, I introduce some new concepts in soft bitopological space such as SBT point, SBT continuous function, and SBT homeomorphism. Secondly, I define SBT Hausdorff space.
Güzide Şenel, Anna M. Gil-Lafuente
wiley +1 more source
Some Properties of (1, 2)*‐Locally Closed Sets
International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014 A new kind of generalization of (1, 2)*‐closed set, namely, (1, 2)*‐locally closed set, is introduced and using (1, 2)*‐locally closed sets we study the concept of (1, 2)*‐LC‐continuity in bitopological space. Also we study (1, 2)*‐contracontinuity and lastly investigate its relationship with (1, 2)*‐LC‐continuity.
Baby Bhattacharya +3 more
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Pairwise Weakly Regular‐Lindelöf Spaces
Abstract and Applied Analysis, Volume 2008, Issue 1, 2008., 2008 We will introduce and study the pairwise weakly regular‐Lindelöf bitopological spaces and obtain some results. Furthermore, we study the pairwise weakly regular‐Lindelöf subspaces and subsets, and investigate some of their characterizations. We also show that a pairwise weakly regular‐Lindelöf property is not a hereditary property. Some counterexamples
Adem Kılıçman +2 more
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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.
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