Definition:Topology Generated by Synthetic Sub-Basis

Definition
Let $X$ be a set.

Let $\mathcal S \subseteq \mathcal P \left({X}\right)$ be a synthetic sub-basis on $X$.

Also see

 * Equivalence of Definitions of Generated Topology
 * Existence and Uniqueness of Generated Topology
 * Definition:Initial Topology
 * Definition:Basis (Topology)
 * Definition:Topology Generated by Synthetic Basis