Minimal Size of Basic Families

Ziqin Feng, Paul Gartside

A family $\bfam$ of continuous real-valued functions on a space $X$ is said to be {\sl basic} if every $f\in C(X)$ can be represented $f={\sum }_{i=1}^n{g}_i\circ {\varphi }_i$ for some $ϕ_…