OPERATION APPROACHES ON SPECIFIC OPEN SETS

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.