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ON PC-CLOSED SETS

  • Ekici, Erdal (Department of Mathematics Canakkale Onsekiz Mart University Terzioglu Campus) ;
  • Tunc, A. Nur (Department of Mathematics Canakkale Onsekiz Mart University Terzioglu Campus)
  • Received : 2016.06.30
  • Accepted : 2016.10.13
  • Published : 2016.11.15

Abstract

In this paper, the concept of $PC^{\star}$-closed sets is introduced. $PC^{\star}$-closed sets contain $pre^*_I$-open and $pre^*_I$-closed sets, ${\mathcal{RPC}}_I$ and $pre^*_I$-closed sets, ${\mathcal{RPC}}_I$ and weakly $I_{rg}$-closed sets.

Keywords

References

  1. S. G. Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci. 22 (1971), 99-112.
  2. E. Ekici and O. Elmali, On decompositions via generalized closedness in ideal spaces, Filomat. 29 (2015), no. 4, 879-886. https://doi.org/10.2298/FIL1504879E
  3. E. Ekici and S. Ozen, A generalized class of ${\tau}$ in ideal spaces, Filomat. 27 (2013), no. 4, 529-535. https://doi.org/10.2298/FIL1304529E
  4. E. Ekici, On $A^*_I$-sets, $C_I$-sets, $C^*_I$-sets and decompositions of continuity in ideal topological spaces, Analele Stiintifice Ale Universitatii Al. I. Cuza Din Iasi (S. N.) Matematica, Tomul LIX (2013), no. 1, 173-184.
  5. E. Ekici, On $AC_I$-sets, $BC_I$-sets, ${\beta}^*_I$-open sets and decompositions of continuity in ideal topological spaces, Creat. Math. Inform. 20 (2011), no. 1, 47-54.
  6. E. Ekici and T. Noiri, Properties of I-submaximal ideal topological spaces, Filomat. 24 (2010), 87-94.
  7. E. Ekici and T. Noiri, On subsets and decompositions of continuity in ideal topological spaces, Arabian Journal for Science and Engineering 34 (2009), 165-177.
  8. E. Ekici, A note on a-open sets and $e^*$-open sets, Filomat. 22:1 (2008), 89-96. https://doi.org/10.2298/FIL0801087E
  9. D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (1990), 295-310. https://doi.org/10.2307/2324512
  10. K. Kuratowski, Topology, Academic Press, New York 1 (1966).
  11. E. P. Lee and S. O. Lee, Double pairwise (r,s)(u,v)-semicontinuous mappings, Journal of the Chungcheong Mathematical Society 27 (2014), no. 4, 603-614. https://doi.org/10.14403/jcms.2014.27.4.603
  12. N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. https://doi.org/10.2307/2312781
  13. A. D. Ray and R. Bhowmick, Separation axioms on bi-generalized topological spaces, Journal of the Chungcheong Mathematical Society 27 (2014), no. 3, 363-379. https://doi.org/10.14403/jcms.2014.27.3.363
  14. M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-381. https://doi.org/10.1090/S0002-9947-1937-1501905-7

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  1. Some generalized continuous maps via ideal vol.31, pp.2, 2016, https://doi.org/10.1007/s13370-019-00715-x