논문KCI 등재
On Mean Open and Closed Sets
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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.
Abstract
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.
참고문헌 (6)
- Basavaraj M. Ittanagi, "On Paraopen Sets and Maps in Topological Spaces", Kyungpook Mathematical Journal, 56(1), pp.301~310 (2016), 경북대학교 자연과학대학 수학과
- Ajoy Mukharjee, "On maximal, minimal open and closed sets", 대한수학회논문집, 30(3), pp.277~282 (2015), 대한수학회
- F. Nakaoka, "Minimal closed sets and maximal closed sets", Int. J. Math. Math. Sci., pp.8~ (2006)[DOI]
- F. Nakaoka, "Some properties of maximal open sets", Int. J. Math. Math. Sci., 2003(21), pp.1331~1340 (2003)
- F. Nakaoka, "Some applications of minimal open sets", Int. J. Math. Math. Sci., 27(8), pp.471~476 (2001)
- L. A. Steen, "Counterexamples in Topology" (1970), Holt, Rinehart, and Winston
관련 논문AI추천
On Paraopen Sets and Maps in Topological SpacesBasavaraj M. Ittanagi, Shivanagappa S. Benchalli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호ON sϒ-GENERALIZED SETS민원근한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호Generalized $(\Lambda,b)$-closed sets in topological spacesChawalit Boonpok강원경기수학회 · 한국수학논문집2017 · 제25권 제3호On a Class of γ*-pre-open Sets in Topological SpacesD. SARAVANAKUMAR, G. SAI SUNDARA KRISHNAN, K. Balachandran, M. Ganster경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호GENERALIZED sg-OPEN SETS IN STRONG GENERALIZED NEIGHBORHOOD SPACES민원근한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호Study of a new variant of pairwise paracompactness on bitopological spacesPOONAM AGARWAL장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제4호
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