Michael’s theorem for Lipschitz cells in o-minimal structures
Tom 117 / 2016
Annales Polonici Mathematici 117 (2016), 101-107
MSC: Primary 14P10; Secondary 54C60, 54C65, 32B20, 49J53.
DOI: 10.4064/ap3931-7-2016
Opublikowany online: 22 July 2016
Streszczenie
A version of Michael’s theorem for multivalued mappings definable in o-minimal structures with $M$-Lipschitz cell values ($M$ a common constant) is proven. Uniform equi-$LC^n$ property for such families of cells is checked. An example is given showing that the assumption about the common Lipschitz constant cannot be omitted.
