The $\gamma$-open Open Topology for Function Spaces
Mathematica Moravica, Tome 14 (2010) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Mots-clés : $\gamma$-open sets, $\gamma$-open open topology, $\gamma H(X)$-the set of all self $\gamma$-homeomorphisms on $X$, $\gamma$-convergence, $\gamma$-regular 
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S. Ganguly; Ritu Sen. The $\gamma$-open Open Topology for Function Spaces. Mathematica Moravica, Tome 14 (2010) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2010_14_1_a6/