본문 바로가기
KERD
논문KCI 등재

A Unified Theory for Certain Weak Forms of Open Sets and Their Variant Forms

Bishwambhar Roy|Ritu Sen
경북대학교 자연과학대학 수학과|2012.12|Kyungpook Mathematical Journal|제52권 제4호|pp. 405-412

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Operation-closure-open set∧-setsg:∧-sets
주제분류수학

초록

The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by A. Csaszar, we introduce uni ed de nitions of ∧-sets,∨-sets, g:∧-sets and g:∨-sets and derive results concerning them.

Abstract

The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by A. Csaszar, we introduce uni ed de nitions of ∧-sets,∨-sets, g:∧-sets and g:∨-sets and derive results concerning them.

참고문헌 (20)

  1. M. E. Abd El-Monsef, "β-open sets and β- continuous mappings", Bull. Fac. Sci. Assiut Univ., 12, pp.77~90 (1993)
  2. P. Alexandroff, "Diskrete Raume", Math. Sb., 2, pp.501~508 (1937)
  3. M. Caldas, "G:∧s-sets and G:∨s-sets", Mem. Fac. Sci. Kochi Univ.(Math.), 21, pp.21~30 (2000)
  4. M. Caldas, "Study of (∧; α)-closed sets and relatednotions in topological spaces", Bull. Malays. Math. Sci. Soc., 30(2), pp.23~36 (2007)
  5. M. Caldas, "On∧b sets and the associated topology ∧b", ActaMath. Hungar., 110, pp.337~345 (2006)
  6. A. Csaszar, "Generalized open sets", Acta. Math. Hungar., 75(1), pp.65~87 (1997)
  7. J. Dugundji, "Topology" (1966), Allyn and Bacon
  8. E. Ekici, "New generalized topologies on generalized topological spaces due to Csaszar", Acta Math. Hungar., 132, pp.117~124 (2011)
  9. M. Ganster, "On pre-∧-sets and pre-∨-sets", Acta Math. Hun-gar., 95, pp.337~343 (2002)
  10. S. Jafari, "Rare α-continuity", Bull. Malays. Math. Sci. Soc., 28(2), pp.157~161 (2005)
  11. M. Kucuk, "A uniβed theory for weak separation properties", Internat. J. Math and Math. Sci., 24(11), pp.765~772 (2000)
  12. M. Kucuk, "A uniβcation on compactness and closedness", Soochow J. Math., 29(3), pp.221~233 (2003)
  13. N. Levine, "Semi-open sets and semi-continuity in topological spaces", Amer. Math. Monthly, 70, pp.36~41 (1963)
  14. R. A. Mahmoud, "β-irresolute and β-topological invariant", Proc. Pakistan Acad. Sci., 27(3), pp.285~296 (1990)
  15. H. Maki, "Generalized∧-sets and the associated closure operator, Special issue incommemoration of Prof. Kazusada IKEDA's retirement", 139~146 (1986)
  16. A. S. Mashhour, "On precontinuous and weak precontinuous mappings", Proc. Math. Phys. Soc. Egypt, 53, pp.47~53 (1982)
  17. T. Noiri, "sp-sets and some weak separation axioms", Acta. Math. Hun- gar., 103(3), pp.225~232 (2004)
  18. S. Raychaudhuri, "On δ-almost continuity and δ-preopen sets", Bull. Inst. Math. Acad. Sinica, 21, pp.357~366 (1993)
  19. B. Roy, "A uniβed theory for R0, R1 and certain other separation properties and their variant forms", Bol. Soc. Paran. Mat., 28(2), pp.9~18 (2010)
  20. I. L. Reilly, "On semi compact spaces, Bull", Malays. Math. Soc., 7(2), pp.61~67 (1984)

관련 논문AI추천

OPERATIONS GENERALIZED MAPPINGS ASSOCIATED WITH °¤p-NORMAL AND °¤p-REGULAR SPACESD. SARAVANAKUMAR, G. SAI SUNDARA KRISHNAN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호On 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 제3호On b-Locally Open Sets in Bitopological SpacesBinod Chandra Tripathy, Diganta Jyoti Sarma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호Generalized $(\Lambda,b)$-closed sets in topological spacesChawalit Boonpok강원경기수학회 · 한국수학논문집2017 · 제25권 제3호On some classes of micro delta-open setsSHIVANGI TYAGI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제4호

이 간행물의 다른 논문 (12건)

Block LU Factorization for the Coupled Stokes Equations by Spectral Element Discretization김필수, PIAOXIANGFAN, 김상동pp. 359-373On Ordered Ternary SemigroupsYashashree Shivajirao Pawar, Vanita Rohit Daddipp. 375-381Numerical Inversion Technique for the One and Two-Dimensional L2-Transform Using the Fourier Series and Its Application to Fractional Partial Differential EquationsAlireza Ansari, Arman Aghilipp. 383-395On Two Dimensional q-Holder's InequalityWengui Yangpp. 397-404Conditional Integral Transforms on a Function Space조동현pp. 413-431
원문 보기