Results 1 to 10 of about 343 (28)
Compact mappings and s-mappings at subsets
Open Mathematics, 2022 Almost ss-mappings and almost compact mappings have been introduced and studied. In this article, we continue to research some questions related to the almost s-images (resp., almost compact images) of metric spaces.
Lin Shou, Ling Xuewei, He Wei
doaj +1 more source
A note on bf-spaces and on the distribution of the functor of the Dieudonné completion
Topological Algebra and its Applications, 2021 A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued continuous function on X is bounded. A real-valued function on X is called bf-continuous if its restriction to each bounded subset of X has a continuous ...
Sanchis Manuel, Valero Óscar
doaj +1 more source
Open Mathematics, 2021 This work studies a new version of normality called epi-quasi normality, which lies between epi-normality and epi-mild normality. In this paper, we investigate this property and present some examples that illustrate the relationships between epi-quasi ...
Thabit Sadeq Ali +2 more
doaj +1 more source
On the topological covering properties by means of generalized open sets
Topological 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
Separation functions and mild topologies
Analysis and Geometry in Metric Spaces, 2023 Given MM and NN Hausdorff topological spaces, we study topologies on the space C0(M;N){C}^{0}\left(M;\hspace{0.33em}N) of continuous maps f:M→Nf:M\to N. We review two classical topologies, the “strong” and the “weak” topology. We propose a definition of “
Mennucci Andrea C. G.
doaj +1 more source
Almost Somewhat Near Continuity and Near Regularity
Moroccan Journal of Pure and Applied Analysis, 2021 The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied.
Ameen Zanyar A.
doaj +1 more source
Open Mathematics, 2019 In this paper we define and investigate nearly Hurewicz spaces and their star version. It is shown that a nearly Hurewicz space fits between Hurewicz and almost Hurewicz spaces.
Aqsa, Khan Moiz ud Din
doaj +1 more source
Topological Algebra and its Applications, 2018 In [7] a relation between completeness of certain uniformity on ordered sets and restrictions of homeomorphisms of compactifications is described. We shall add more details here and correct one proof.
Hušek Miroslav
doaj +1 more source
On the class of weakly almost contra-T*-continuous functions [PDF]
, 2019 The aim of this paper is to introduce and investigate a new class of functions called weakly almost contra-$T^*$-continuity which is defined as a function from an operator topological space $(X, \tau, T)$ into an arbitrary topological space $(Y, \delta)$.
Alabdulsada, Layth M.
core +2 more sources
Filter Bases and j-ω-Perfect Mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 This paper consist some new generalizations of some definitions such: j-ω-closure converge to a point, j-ω-closure directed toward a set, almost j-ω-converges to a set, almost j-ω-cluster point, a set j-ω-H-closed relative, j-ω-closure ...
G. S. Ashaea, Y. Y. Yousif
doaj +1 more source