Results 1 to 10 of about 82 (79)
On Soft SIgδs-closed sets [PDF]
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
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A DECOMPOSITION OF CONTINUITY ON F*– SPACES AND MAPPINGS ON SA*– SPACES
: 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
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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
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Dual uniformities in function spaces over uniform continuity
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
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The B-topology on S∗-doubly quasicontinuous posets
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
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A study of uniformities on the space of uniformly continuous mappings
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
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On the topological covering properties by means of generalized open sets
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
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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
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A metrizable semitopological semilattice with non-closed partial order
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
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Topological Scott Convergence Theorem [PDF]
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
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