Results 61 to 70 of about 140 (131)

Lattice‐Valued Topological Systems as a Framework for Lattice‐Valued Formal Concept Analysis

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
Recently, Denniston, Melton, and Rodabaugh presented a new categorical outlook on a certain lattice‐valued extension of Formal Concept Analysis (FCA) of Ganter and Wille; their outlook was based on the notion of lattice‐valued interchange system and a category of Galois connections. This paper extends the approach of Denniston et al.
Sergey A. Solovyov, Alfred Peris
wiley   +1 more source

Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence

Applied General Topology, 2001
We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied.
Jesús Rodríguez-López
doaj   +1 more source

A Note on Some Generalized Closed Sets in Bitopological Spaces Associated to Digraphs

Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
Many investigations are undergoing of the relationship between topological spaces and graph theory. The aim of this short communication is to study the nature and properties of some generalized closed sets in the bitopological spaces associated to the digraph.
K. Kannan, Livija Cveticanin
wiley   +1 more source

Pairwise Compact In Intuitionistic Double Topological Spaces

Journal of Kufa for Mathematics and Computer, 2011
The concept of intuitionistic topological space was introduced by Çoker .The aim of this paper is to discuss the relation between  bitopological spaces and double- topological spaces and give a notion of pairwise compact for double topological spaces .
Hadi J Mustafa, Rewayda Razaq Mohsin, Enas Yehya Abdullah   +2 more
doaj   +1 more source

SOME REPRESENTATIONS CONNECTED WITH ULTRAFILTERS AND MAXIMAL LINKED SYSTEMS

Ural Mathematical Journal, 2017
Ultrafilters and maximal linked systems (MLS)  of a lattice of sets are considered. Two following variants of topological equipment are investigated: the Stone and Wallman topologies.
Alexander G. Chentsov
doaj   +1 more source

Properties of Separation Axioms in Bitopological Spaces

Journal of Bangladesh Academy of Sciences, 2020
In this paper, three notions of separation axioms in bitopological space are discussed. Some relations of topology and bitopology in such notions have been found. Further, that these notions are hereditary and topological property are proved. Journal of Bangladesh Academy of Sciences, Vol. 43, No.
Roshmi, Rupaya, Hossain, M. S.
openaire   +2 more sources

Characterizations of Quasi-Metrizable Bitopological Spaces [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988
AbstractIn this paper we prove that a pairwise Hausdorff bitopological space is quasi-metrizable if and only if for each point x ∈ X and for i, j = 1,2, i ≠ j, one can assign nbd bases { S(n, i; x) | n = 1, 2,… } such that (i) y ∉ S (n − 1, i; x) imples S(n, i; x) ∩ S (n, j; y) = φ, (ii) y ∈ S (n, i; x) implies S (n, i; y) ⊂ S(n − 1, i; x). We derive
Raghavan, T. G., Reilly, I. L.
openaire   +2 more sources

Projective bitopological spaces [PDF]

Journal of the Australian Mathematical Society, 1972
J. C. Kelly [2] introduced the concept of a bitopological space. Lane [3], Patty [4] and Pervin [5] have continued his work. Our purpose in this paper is to identify the projective objects in a suitable category of bitopological spaces after the manner of Gleason [1] and generalize his theorem that in the category of compact Hausdoriff topological ...
openaire   +1 more source

Some Subsets of Bitopological Spaces

International Journal of Analysis and Applications, 2023
In this paper, we introduce the notions of minimal u-ω-closed sets, maximal u-ω-open sets, u-ω-paraopen sets, u-ω-paraclosed sets, u-ω-mean open sets and u-ω-mean closed sets in bitopological spaces and obtain several characterizations and some of its properties.
R. Rajalakshmi, C. Carpintero, N. Rajesh, E. Rosas   +3 more
openaire   +2 more sources

Generalized Quasi-Continuities of Multifunctions on Bitopological Spaces

Mathematics
The aim of the article is to introduce a few variants of the generalized quasi-continuity of multifunctions defined on a bitopological space and to study their mutual relationship.
Milan Matejdes
doaj   +1 more source