Definition:Sub-Basis/Synthetic Sub-Basis

Definition
Let $A$ be a set.

Let $\mathcal S \subseteq \mathcal P \left({A}\right)$, where $\mathcal P \left({A}\right)$ is the power set of $A$.

Then $\mathcal S$ is a (synthetic) sub-basis on $A$.

Also see

 * Analytic Sub-Basis
 * Basis


 * Synthetic Basis Formed from Synthetic Sub-Basis