network

Definition

• Let (X,τ) be a topological space. A family L of subsets is called a network for a topology τ if every set in τ is the union of some seubfamily of L.

Reference

• Dontchev, J.; Popvassilev, S.; Stavrova, D., On the η-expansion topology for the co-semi-regularization and mildly Hausdorff spaces., (English summary), Acta Math. Hungar. 80 (1998), no. 1-2, 9-19.