Browse > Article
http://dx.doi.org/10.14403/jcms.2016.29.4.565

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)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.4, 2016 , pp. 565-572 More about this Journal
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
$PC^{\star}$-closed set; $PC^{\star}$-open set; $pre^*_I$-open; $pre^*_I$-closed; ${\mathcal{RPC}}_I$-set; weakly $I_{rg}$-closed set; $pre^*_I$-clopen;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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.   DOI
3 E. Ekici and S. Ozen, A generalized class of ${\tau}$ in ideal spaces, Filomat. 27 (2013), no. 4, 529-535.   DOI
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.   DOI
9 D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (1990), 295-310.   DOI
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.   DOI
12 N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.   DOI
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.   DOI
14 M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-381.   DOI