Definition:Sub-Basis/Synthetic Sub-Basis

Definition
Let $X$ be a set.

A synthetic sub-basis on $X$ is any subset $\mathcal S \subseteq \mathcal P \left({X}\right)$ of the power set of $X$.

Also known as
Some sources do not hyphenate: subbasis.

Some sources use the term sub-base (or subbase).

Also see

 * Definition:Topology Generated by Synthetic Sub-Basis
 * Definition:Analytic Sub-Basis
 * Definition:Basis (Topology)


 * Synthetic Basis formed from Synthetic Sub-Basis