On the tightness of $G_{\delta }$-modifications

Alan Dow, István Juhász, Lajos Soukup +2

The $G_{\delta }$-modification $X_{\delta }$ of a topological space $X$ is the space on the same underlying set generated by, i.e. having as a basis, the collection of all $G_{\delta }$ subsets of $X$. Be…