논문KCI 등재
Weak Separation Axioms in Generalized Topological Spaces
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We show that in quasi-topological spaces, separation axiom T2 is equivalent to α-T2, T0 is equivalent to semi-T0, and semi-T½ is equivalent to semi-TD. Also, we give characterizations for α - T1, semi - T_1 and semi - T½ generalized topological spaces.
Abstract
We show that in quasi-topological spaces, separation axiom T2 is equivalent to α-T2, T0 is equivalent to semi-T0, and semi-T½ is equivalent to semi-TD. Also, we give characterizations for α - T1, semi - T_1 and semi - T½ generalized topological spaces.
참고문헌 (11)
- A. Csaszar, "Generalized topology, generalized continuity", Acta Math. Hungar., 96, pp.351~357 (2002)[DOI]
- A. Csaszar, "Separation Axioms for Generalized Topologies", Acta Math. Hungar., 104, pp.63~69 (2004)
- A. Csaszar, "Generalized open sets in generalized topologies", Acta Math. Hungar., 106, pp.53~66 (2005)[DOI]
- A. Csaszar, "Further remarks on the formula for γ-interior", Acta Math. Hungar., 113, pp.325~332 (2006)[DOI]
- A. Guldurdek, "On γ-semi-open sets", Acta Math. Hungar., 109(4), pp.347~355 (2005)[DOI]
- H. Maki, "Every topological space is pre-T₁", ₂, 1996, pp.17, 33~42
- V. Pankajam, "Some separation axioms in generalized topological spaces", Bol. Soc. Paran. Mat.(3s)., 31(1), pp.29~42 (2013)
- I. L. Reilly, "On α-sets in topological spaces", Tamkang J. Maths., 16(1), pp.7~11 (1985)
- V. Renukadevi, "On δ-sets in γ-spaces", Filomat, 22(1), pp.95~104 (2008)
- V. Renukadevi, "On weak separation axioms in generalized topological spaces", Annales Univ. Sci. Budapest., to appear, ~
- P. Sivagami, "Remarks on γ-interior", Acta Math. Hungar., 119, pp.81~94 (2008)[DOI]
관련 논문AI추천
On some lower soft separation axioms허걸, S. Saleh기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제1호New separation axioms in soft topological spaceA.R. Prasannan, Jayanta Biswas기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제1호A new separation axiom on bitopological spacesChandra Kant Goel, POONAM AGARWAL장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호Separation axioms in generalized fuzzy soft topological spacesF. H. Khedr, M. S. Malfi기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호GPR-Separation axiomsGnanambal Ilango, Krishnan Balachandran, Rayappan Marudhachalam영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호ON FUZZY SEMI α - SEPARATION TOPOLOGICAL SPACESLatha, Othman장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호
이 간행물의 다른 논문 (14건)
Exposed Symmetric Bilinear Forms of Ls(2d*(1,w)2)김성권pp. 341-347Uniqueness of Entire Functions and Differential Polynomials Sharing one ValueXiao-Bin Zhang, Da-Wei Mengpp. 349-363Bounded Mocanu Variation Properties of Certain Subclass of Meromorphic Functions Involving a Family of Linear OperatorAli Muhammadpp. 365-374Halpern's Iteration for Strongly Relatively Nonexpansive Mappings in Banach SpacesPrasit Cholamjiak, Suthep Suantaipp. 375-385Hyers-Ulam Stability of Jensen Functional Equation in p- Banach Spaces전길웅, 김학만, 손은영pp. 401-411
