Maria Michalska (ICMC)

Tuesday 13th September, 16:00, room 3-011

Maria Michalska (ICMC)

Talk: Extending real piece-wise polynomial functions

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.