2013
DOI: 10.1155/2013/381068
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On𝒜(i,j)-Continuous Functions in Biminimal Structure Spaces

Abstract: We introduce the notion ofℳ𝒜(i,j)-continuous functions and some other forms of continuity in biminimal structure spaces. Some new characterizations and several fundamental properties ofℳ𝒜(i,j)-continuous functions are obtained.

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Cited by 5 publications
(6 citation statements)
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“…In this section, -totally disconnected, light functions and some spaces by using open sets have been presented. Definition 1 (7), (8) A subcollection of the power set ( ) of a non-empty set is called a minimal structure on if ∅, ∈ , the pair ( , ) is called -structure space (in short -space). Each element in is said to be -open set and its complement is said to be -closed set.…”
Section: Resultsmentioning
confidence: 99%
“…In this section, -totally disconnected, light functions and some spaces by using open sets have been presented. Definition 1 (7), (8) A subcollection of the power set ( ) of a non-empty set is called a minimal structure on if ∅, ∈ , the pair ( , ) is called -structure space (in short -space). Each element in is said to be -open set and its complement is said to be -closed set.…”
Section: Resultsmentioning
confidence: 99%
“…Recently, Boonpok [5] has renamed bi-m-spaces as biminimal structure spaces. In [4], the author studied some forms of continuity between two biminimal structure spaces.…”
Section: The Family Of All M-α-open (Resp M-semi-open M-preopen M-mentioning
confidence: 99%
“…The above discussion motivated the current study, of some branches of topology. The concept of a biminimal structure space (BSS) and some properties of m 1 X m 2 X −closed sets and m 1 X m 2 X −open sets in BSSs were introduced by Boonpok [2] in 2010. That is, (X, m 1 X , m 2 X ) is called a biminimal structure space, where X is a nonempty set and m 1 X , m 2 X are minimal structures on X where minimal structures are defined by giving P (X) as the power set of a nonempty set X.…”
Section: Introductionmentioning
confidence: 99%
“…Biminimal structure space has been of wide interest in studying in Topology. Furthermore, Boonpok et al [2][3][4] provided some properties of them to as a preliminary for the current study, such as…”
Section: Introductionmentioning
confidence: 99%