The link of the germ of a semi-algebraic metric space

Valette, Guillaume

doi:10.1090/S0002-9939-07-08878-8

The link of the germ of a semi-algebraic metric space
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Proc. Amer. Math. Soc. 135 (2007), 3083-3090 Request permission

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.

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