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.