Results 21 to 30 of about 66 (64)
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.
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2299-2305, 2004., 2004 We define a space (X, T) to be I‐Lindelof if every cover 𝒜 of X by regular closedsubsetsof the space (X, T) contains a countable subfamily 𝒜′ suchthat X = ∪{int(A) : A ∈ A′}. We provide several characterizations of I‐Lindelofspaces and relate them to some other previously known classes of spaces, for example, rc‐Lindelof, nearly Lindelof, and so forth.
Khalid Al-Zoubi, Bassam Al-Nashef
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Classification of weak continuities and decomposition of continuity
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 51, Page 2755-2760, 2004., 2004 We first introduce 20 weak forms of continuity, which are closely related to 5 known weak forms of continuity. Then we classify them into 9 groups and give 12 decompositions of continuity.
Jingcheng Tong
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Automatic continuity of homomorphisms between topological inverse semigroups
Topological Algebra and its Applications, 2018 We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.
Pastukhova Iryna
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A note on some applications of α‐open sets
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 125-130, 2003., 2003 The object of this note is to introduce and study topological properties of α‐derived, α‐border, α‐frontier, and α‐exterior of a set using the concept of α‐open sets. Moreover, we study some further properties of the well‐known notions of α‐closure and α‐interior. We also obtain a new decomposition of α‐continuous functions.
Miguel Caldas
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rc‐continuous functions and functions with rc‐strongly closed graph
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 72, Page 4547-4555, 2003., 2003 The family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y. The first of them is the notion of f being rc‐continuous. One of the established results states that a space Y is extremally disconnected if and only if each continuous function from a space X to Y is rc ...
Bassam Al-Nashef
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Semi-Hurewicz-Type properties in ditopological texture spaces
Open Mathematics, 2018 In this paper we will define and discuss semi-Hurewicz type covering properties in ditopological texture spaces. We consider the behaviour of semi-Hurewicz and co-semi-Hurewicz selection properties under direlation and difunction between ditopological ...
Ullah Hafiz, Khan Moiz ud Din
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Fuzzy cγ‐open sets and fuzzy cγ‐continuity in fuzzifying topology
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 1, Page 51-63, 2002., 2002 The concepts of fuzzy cγ‐open sets and fuzzy cγ‐continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.
T. Noiri, O. R. Sayed
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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
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Semi‐precontinuous functions and properties of generalized semi‐preclosed sets in topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 85-98, 2002., 2002 Andrijević (1986) introduced the class of semi‐preopen sets in topological spaces. Since then many authors including Andrijević have studied this class of sets by defining their neighborhoods, separation axioms and functions. The purpose of this paper is to provide the new characterizations of semi‐preopen and semi‐preclosed sets by defining the ...
G. B. Navalagi
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