New generalized topologies on generalized topological spaces due to Császár

Authors: Ekici, Erdal¹; Roy, Bishwambhar²

Source: Acta Mathematica Hungarica, Volume 132, Numbers 1-2, July 2011 , pp. 117-124(8)

Publisher: Springer

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Abstract:

We introduce new types of sets called <EquationSource Format="TEX">$bigwedge_{mu}$</EquationSource> -sets and <EquationSource Format="TEX">$bigvee_{mu}$</EquationSource> -sets and study some of their fundamental properties. We then investigate the topologies obtained from these sets.

Keywords: $bigwedge_{mu}$ -set; $bigvee_{mu}$ -set; $g.bigwedge_{mu}$ -set; $g.bigvee_{mu}$ -set; μ-T 1/2-space; 54D10; 54D15; 54C08; 54C10

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10474-010-0050-6

Affiliations: 1: Department of Mathematics, Canakkale Onsekiz Mart University, Terzioglu Campus, 17020, Canakkale, Turkey, Email: eekici@comu.edu.tr 2: Department of Mathematics, Women's Christian College, 6, Greek Church Row, Kolkata, 700 026, India, Email: bishwambhar_roy@yahoo.co.in

Publication date: 2011-07-01