The $\gamma$-open Open Topology for Function Spaces

S. Ganguly, Ritu Sen

In this paper we have introduced the notion of $\gamma$-open open topology and proved some properties which the topology does possess. We have also introduced the concept of convergence of nets in $\gamma H(X)$ (where $\gamma H(X)$ is the set of all self $\gamma$-homeomorphisms on a topological space $X$) and showed when $\gamma H(X)$ is complete.