Results 91 to 100 of about 529 (158)

Superextension as bitopological space

Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ., 2017
The author studies some properties of a bitopological space and its subspaces that appear on the superextension of a topological space \(X\). The superextension of \(X\) is the set of all maximal linked systems of closed subsets of \(X\). Two topologies on the superextension of \(X\) are considered: one of Wallman type and the other of Stone type.
openaire   +4 more sources

New types of generalized closed sets in bitopological spaces

, 2013
In this paper, we introduce a new type of closed sets in bitopological space (X,τ1,τ2), used it to construct new types of normality, and introduce new forms of continuous function between bitopological spaces.
Abu-Donia, H.M.
core   +1 more source

On completeness of quasi-pseudometric spaces

International Journal of Mathematics and Mathematical Sciences, 2005
We discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi-pseudometric spaces and bitopological spaces.
Seithuti P. Moshokoa
doaj   +1 more source

Rough sets models inspired by supra-topology structures. [PDF]

Artif Intell Rev, 2023
Al-Shami TM, Alshammari I.
europepmc   +1 more source

On Strong $(i,j)$-Semi$^{*}$-$\Gamma $-Open Sets in Ideal Bitopological Space

Journal of New Theory
In this study, we introduce the concepts of $(i,j)$-semi$^{*}$-$\Gamma $-open sets within the context of ideal bitopological spaces. This concept is demonstrated to be weaker than the established the notion of $(i,j)$-semi-$\Gamma $-open sets ...
Sibel Demiralp, Ibtissam Bukhatwa
doaj   +1 more source

IJ--Perfect Functions Between Bitopological Spaces

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
In this paper we introduce a lot of concepts in bitopological spaces which are ij-ω-converges to a subset, ij-ω-directed toward a set, ij-w-closed functions, ij-w-rigid set, ij-w-continuous functions and the main concept in this paper is ij-w-perfect ...
Y. Y. Yousif, N. S. Jassim
doaj  

Bitopological spaces

, 1970
A bitopological space (X,τ,μ) is a set X with two topologies. The study of bitopological spaces was initiated by J. C. Kelly. In this thesis, we study pairwise-separation axioms as defined by J. C. Kelly, C. W. Patty, and F. P. Lane.
Whitley, Wilma Yates
core  

Versions of separability in bitopological spaces

, 2011
We study selective versions of separability in bitopological spaces. In particular, we investigate these properties in function spaces endowed with the topology of pointwise convergence and the compact-open ...
Kocinac, Ljubisa D. R., Selma Özçağ, Kočinac, Ljubiša D.R., Özçağ, Selma, Ljubiša D.R. Kočinac   +4 more
core   +1 more source

On weakly b-continuous functions in bitopological spaces - doi: 10.4025/actascitechnol.v35i3.15612

Acta Scientiarum: Technology, 2013
In this article we introduce the notion of weakly b–continuous functions in bitopological spaces as a generalization of b–continuous functions. We prove several properties of these functions.
Binod Chandra Tripathy, Diganta Jyoti Sarma   +1 more
doaj   +1 more source

On almost Hurewicz property in bitopological spaces

, 2021
The purpose of this paper is to investigate properties and results of the almost Hurewicz property in bitopological spaces. We characterize this property using ( i , j ) - regular open sets and almost continuous surjective map ...
SİNGH, Beenu, CHAUHAN, Harsh Vardhan
core   +1 more source