Maria Michalska (ICMC)
Abstract:
Let us take an algebraic subset $X$ of $\mathbb{R}^n$ and a continuous
function that at every point of $X$ is defined as restrictions of
polynomials to this set. We call such functions piece-wise polynomial. The
question arises: when is it indeed a restriction of a polynomial to $X$?
We will discuss this problem as well as present some results and
iteresting connections to the idea of normally Lipschitz embedded sets.