Results 21 to 30 of about 83 (77)
Some Properties of (1, 2)*‐Locally Closed Sets
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
wiley +1 more source
Pairwise Weakly Regular‐Lindelöf Spaces
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
wiley +1 more source
The Quasimetrization Problem in the (Bi)topological Spaces
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
Quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces
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
Λr -sets and separation axioms [PDF]
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
core
Bitopological rough approximations with medical applications
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.
core +1 more source
The diffeomorphism groups of the real line are pairwise bihomeomorphic
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
core +1 more source
Intuitionistic Smooth Bitopological Spaces and Continuity [PDF]
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
openaire +1 more source
On T0 fuzzy Bitopological spaces
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.
openaire +3 more sources
Cover quasi-uniformities in frames
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

