A Note on the Topologicity of Quantale-Valued Topological Spaces

Hongliang Lai, Walter Tholen

For a quantale $\mathsf{V}$, the category $\mathsf{V}$-$\mathbf{Top}$ of $\mathsf{V}$-valued topological spaces may be introduced as a full subcategory of those $\mathsf{V}$-valued closure space…