2 problems

Let $PWP(n)_u$ be the set of continuous piecewise-polynomial functions from $[0,1]^n$ to $[0,1]$, let $ISD(n)_u$ be the set of continuous functions on $[0,1]^n$ expressible as fini…

Let $n\geq 1$. The free, commutative, real $\ell$-algebra (equivalently, $\ell$-group) on $n$ generators is compared with the $\ell$-group of real-valued functions that are continu…