KL-inequality for definable maps


Krzysztof KURDYKA, . 9 novembre 2023 15:15 TLR geo 2:00:00
Abstract:

We state and prove a version of Kurdyka-Lojasiewicz inequality for a mapping definable in an o-minimal structure, with values in Rk\R^k, k>1k>1. It implies a uniform bound for the measure of submanifolds transversal to the fibers.