Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, 30-059 Kraków, Poland
Abstract:
In this paper we investigate the metric properties of semi-algebraic germs. More precisely we introduce a counterpart to the notion of link for semi-algebraic metric spaces, which is often used to study the topology. We prove that it totally determines the metric type of the germ. We give a nice consequence for semi-algebraically bi-Lipschitz homeomorphic semi-algebraic germs.