Article overview
Abstract
In this paper, we shall define the properties for arbitrary topological spaces such as $\alpha_{(\lambda,\lambda')}$-connected spaces and $\mu_{\Omega}$-compact spaces and shall prove the appropriate theorems with counter examples. Also we established that,$\alpha_{(\lambda,\lambda')}$-locally connectedness is an $\alpha_{(\lambda,\lambda')}$-open hereditary and we conclude that $\gamma$-operation defined by Ogata is an restriction of $\lambda$-operation.
Keywords and Phrases
$\alpha_{(\lambda\lambda')}$-open sets$\alpha_{(\lambda\lambda')}$-connected spaces$\Omega$-open sets$\mu_{\Omega}$-open sets and $\mu_{\Omega}$-compact spaces.
AMS Subject Classification
54A05, 54A15, 54B17.
Reference information
How to Cite
P. Gnanachandra, A. Muneesh Kumar (2021). OPERATION APPROACHES ON SPECIFIC OPEN SETS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(2), 153-164.