TY - JOUR T1 - Generalized Star ωα-Closed Sets in Topological Spaces AU - Patil, P.g. AU - Benchalli, Ss AU - Mirajakar, Pallavi PY - 2015 DA - September JF - Journal of New Results in Science JO - JNRS PB - Tokat Gaziosmanpasa University WT - DergiPark SN - 1304-7981 SP - 37 EP - 45 VL - 4 IS - 9 LA - en AB - The aim of this paper is to introduce a new class ofclosed sets called generalized star ωα-closed sets using ωα-closedsets in topological spaces. This new class of sets lies between theclass of closed sets and the class of generalized ωα-closed sets.Further some of their properties are investigated. KW - Topological spaces; closed sets; ωα-closed sets; generalized ωα-closed sets CR - M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-Open Sets and β-Continuous Mappings, Bull. Fac. Sci. Assint Unie., 12, (1983),77-90. CR - D. Andrijivic, Semi pre Open Sets, Mat. Vesnic, 38(1), (1986), 24-32. CR - S. P. Arya and T. M. Nour, Characterizations of s-normal Spaces, Indian Jl. Pure Appl. Math., 21, (1990), 717-719. CR - S. S. Benchalli, P. G. Patil and T. D. Rayanagaudar, ωα-Closed Sets is Topological Spaces, The Global. Jl. Appl. Math. and Math. Sci., 2, (2009), 53-63. CR - S. S. Benchalli, P. G. Patil and P. M. Nalwad, Generalized ωα-Closed Sets in Topological Spaces, Jl. New Results in Science,, Vol 7, (2014), 7-19. CR - P. Bhattacharyya and B.K. Lahiri, Semi-generalized Closed Sets in Topology, Indian Jl. Math., 29, (1987), 376 - 382. CR - J. Dontchev, On Generalizing Semi-pre Open Sets, Mem. Fac. Kochi Univ. Math., 16, (1995), 35-48. CR - J. Dontchev, On Submaximal Spaces, Tankang Jl. Math., 26, (1995), 253-260. CR - Y. Gnanambal, On Generalized Pre-regular Closed Sets in Topological Spaces, Indian Jl. Pure Appl. Math., 28(3), (1997), 351-360. CR - S. Jafari, S. S. Benchalli, P. G. Patil and T. D. Rayanagoudar, Pre g∗-Closed Sets in Topological Spaces, Jl. of Advanced Studies in Topology, Vol 3, No.3, (2012), 55-59. CR - N. Levine, Semi-open Sets and Semi Continuity in Topological Spaces, Amer. Math. Monthly, 70(1963), 36-41. CR - N. Levine, Generalized Closed Sets in Topology, Rend. Circ. Mat. Palermo, 19(2), (1970), 89-96. CR - O. Njastad, On Some Classes of Nearly Open Sets, Pacific Jl. Math., 15, (1965), 961-970. CR - H. Maki, R. Devi and K. Balachandran, Generalized α-Closed Sets in Topology, Bull. Fukuoka Univ. Ed., Part III, 42, (1993), 13 -21. CR - H. Maki, R. Devi and K. Balachandran, Associated Topologies of Generalized α-Closed Sets and α-Generalized Closed Sets, Mem. Fac. Kochi Univ. Ser. A. Math., 15, (1994), 51-63. CR - H. Maki, J. Umehara and T. Noiri, Every Topological Space is Pre-T1/2, Mem.Fac. Sci. Kochi Univ. Math., 17, (1996), 33-42. CR - A. S. Mashhour, M. E. Abd El-Monsef and S. N. EL-Deeb, On Pre-Continuous and Weak Pre Continuous Mappings, Proc. Math and Phys. Soc. Egypt, 53, (1982), 47-53. CR - A. S. Mashour, M. E. Abd El-Monsef and S. N. El-Deeb, α-Open Mappings, Acta.Math. Hungar., 41, (1983), 213-218. CR - A. Pushpalatha, Studies on Generalizations of Mappings in Topological Spaces, Ph.D.Thesis, Bharathiar University, Coimbatore, (2000). CR - P. Sundaram and M. Sheik John, On ω-Closed Sets in Topology, Acta Ciencia Indica, 4, (2000), 389-392. CR - L. A. Steen and J. A. Seebach, Jr., Counter Examples in Topology, Springer Verlag, New York, 1978. CR - M. Stone, Application of the Theory of Boolean Rings to General Topology, Trans. Amer. Math. Soc. 41, (1937), 374-481. CR - M. K. R. S. Veera Kumar, g∗-preclosed Sets, Acta Ciencia Indica, 28(1), (2002), 51-60. UR - https://dergipark.org.tr/en/pub/jnrs/issue//123372 L1 - https://dergipark.org.tr/en/download/article-file/105210 ER -