Results 1 to 10 of about 82 (79)

On Soft SIgδs-closed sets [PDF]

open access: yesE3S Web of Conferences, 2023
In this paper, we introduce some new notions called soft SIgδs - closed sets, soft SIgδs - open sets. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of sets.
Rosemathy Y.   +4 more
doaj   +2 more sources

A DECOMPOSITION OF CONTINUITY ON F*– SPACES AND MAPPINGS ON SA*– SPACES

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: An ideal topological space (X,Ï„,I) is said to be an F* – space if A=Cl*(A) for every open set A ⊂ X. In this paper, a decomposition of continuity on F* – spaces is introduced.
A. ACIKGOZ
doaj   +1 more source

On Cosymplectic Dynamics I

open access: yesComplex Manifolds, 2022
This paper is an introduction to cosymplectic topology. Through it, we study the structures of the group of cosymplectic diffeomorphisms and the group of almost cosymplectic diffeomorphisms of a cosymplectic manifold (M, ω, η) : (i)− we define and ...
Tchuiaga Stephane   +2 more
doaj   +1 more source

Dual uniformities in function spaces over uniform continuity

open access: yesOpen Mathematics, 2022
The notion of dual uniformity is introduced on UC(Y,Z)UC(Y,Z), the uniform space of uniformly continuous mappings between YY and ZZ, where (Y,V)(Y,{\mathcal{V}}) and (Z,U)(Z,{\mathcal{U}}) are two uniform spaces.
Gupta Ankit   +3 more
doaj   +1 more source

The B-topology on S∗-doubly quasicontinuous posets

open access: yesOpen Mathematics, 2021
The notions of os{o}_{s}-convergence and S∗{S}^{\ast }-doubly quasicontinuous posets are introduced, which can be viewed as common generalizations of Birkhoff’s order-convergence and S∗{S}^{\ast }-doubly continuous posets, respectively. We first consider
Sun Tao, Li Qingguo, Zou Zhiwei
doaj   +1 more source

A study of uniformities on the space of uniformly continuous mappings

open access: yesOpen Mathematics, 2020
New families of uniformities are introduced on UC(X,Y)UC(X,Y), the class of uniformly continuous mappings between X and Y, where (X,U)(X,{\mathcal{U}}) and (Y,V)(Y,{\mathcal{V}}) are uniform spaces.
Gupta Ankit   +3 more
doaj   +1 more source

On the topological covering properties by means of generalized open sets

open access: yesTopological Algebra and its Applications, 2023
By utilizing gg-open sets, we developed the ideas of GO-Mengerness and GO-Lindelöfness in this article. The structure of GO-compactness is compared to these topological covering features.
Sarkar Susmita   +2 more
doaj   +1 more source

More On Weak Soft Axioms

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we continue studying the properties of weak soft axioms discussed and studied in [8]. We initiate and explore soft semi-R0 spaces at soft point in terms of soft semi-open sets and study its characterizations and properties.
Hussain Sabir
doaj   +1 more source

A metrizable semitopological semilattice with non-closed partial order

open access: yesTopological Algebra and its Applications, 2020
We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras   +2 more
doaj   +1 more source

Topological Scott Convergence Theorem [PDF]

open access: yesLogical Methods in Computer Science, 2019
Recently, J. D. Lawson encouraged the domain theory community to consider the scientific program of developing domain theory in the wider context of $T_0$ spaces instead of restricting to posets.
Hadrian Andradi, Weng Kin Ho
doaj   +1 more source

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