• Kyungpook Mathematical Journal
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• 제56권4호
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• pp.1259-1265
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• 2016

In this paper, we introduce the notions of mean open and closed sets in topological spaces, and obtain some properties of such sets. We observe that proper paraopen and paraclosed sets are identical to mean open and closed sets respectively.

• 한국지능시스템학회논문지
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• 제12권6호
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• pp.565-570
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• 2002

We introduce the concepts of fuzzy H-continuity and fuzzy strongly closed graph, respectively and investigate some of their properties.

• 대한수학회논문집
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• 제32권1호
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• pp.175-181
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• 2017

In this paper, we introduce a notion of cleanly covered topological spaces along with two strong separation axioms. Some properties of cleanly covered topological spaces are obtained in term of maximal open sets including some similar properties of a topological space in term of maximal closed sets. Two strong separation axioms are also investigated in terms of minimal open and maximal closed sets.

• 산업기술연구
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• 제5권
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• pp.47-49
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• 1985

Semi-open을 기초로 하여 만들어진 S-closed 공간의 일반적인 성질을 살펴보고 S-closed 공간과 (maximum) filterbase와의 관계를 조사하였다. 이를 바탕으로 regular closed된 cover C, regular open set인 족(族) C, rc-accumulation, (maximum) filterbase에서의 관계(關係)를 살펴 보았다. Mapping theory에서 almost-open almost-continuous map f가 almost continuous되는 것을 보였다.

• Journal of applied mathematics & informatics
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• 제39권3_4호
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• pp.251-257
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• 2021

This article is devoted to introduce the notion of fuzzy cleanly covered fuzzy topological spaces; in addition two strong fuzzy separation axioms are studied. By means of fuzzy maximal open sets some properties of fuzzy cleanly covered fuzzy topological spaces are obtained and also by means of fuzzy maximal closed sets few identical results of a fuzzy topological spaces are investigated. Through fuzzy minimal open and fuzzy maximal closed sets, two strong fuzzy separation axioms are discussed.

• East Asian mathematical journal
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• 제16권1호
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• pp.125-133
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• 2000

Weak forms of regular continuity and regular closure are introduced and used to strengthen some results concerning the preservation of rg-closed sets.

• 대한수학회보
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• 제53권6호
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• pp.1869-1878
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• 2016

We study closed Einstein-Weyl structure on compact K-contact manifolds and prove that a compact K-contact manifold admitting a closed Einstein-Weyl structure is Einstein and Sasakian.

• Korean Journal of Mathematics
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• 제4권2호
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• pp.173-178
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• 1996

In this paper, we discuss quasi-fuzzy H-closed space and introduce ${\theta}$-convergence of prefilter in fuzzy topological space. And we define ${\theta}$-closed fuzzy set using by ${\theta}$-convergence.

• 한국수학교육학회지시리즈A:수학교육
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• 제14권1호
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• pp.11-12
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• 1975

L. Herrington과 P.E. Long이 서술한 H-closed Space에 대해서 성질 즉 H-closed Space의 연속이고 전사인 상은 H-closed Space가 된다는 사실과 그외 몇가지 성질을 조사 했다.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.379-384
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• 2003

In this paper, we obtain a topology $\tau\delta$ on X. From this topology, we obtain some characterizations of if-closed spaces.