On gg-Open Sets in Topological Space

Basavaraj M. Ittanagi and Govardhana Reddy H G

Department of Mathematics, Siddaganga Institute of Technology, Tumakuru-03, Affiliated to VTU, Belagavi, Karnataka State, INDIA. Department of Mathematics, Alliance College of Engineering and Design, Alliance University, Bangalore, Karnataka State, INDIA.


In this research paper, a new class of open sets called gg-open sets in topological space are introduced and studied. Also some of their properties have been investigated. We also introduce gg-closure, gg-interior, gg-neighbourhood, gg-limit points and discuss some properties. 2010 Mathematics Classification: 54A05, 54A10

Keywords :gg-closed sets, gg-open sets, gg-closure, gg-interior, gg-neighbourhood and gg-limit points.

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