Geodesic
Michael’s theorem for Lipschitz cells in o-minimal structures
Małgorzata Czapla1 ; Wiesław Pawłucki1
1Instytut Matematyki Uniwersytetu Jagiellońskiego Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 117 (2016) no. 2, pp. 101-107
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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.
DOI : 10.4064/ap3931-7-2016
Keywords: version michael theorem multivalued mappings definable o minimal structures m lipschitz cell values common constant proven uniform equi lc property families cells checked example given showing assumption about common lipschitz constant cannot omitted

Małgorzata Czapla  1   ; Wiesław Pawłucki  1

1 Instytut Matematyki Uniwersytetu Jagiellońskiego Łojasiewicza 6 30-348 Kraków, Poland 
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Małgorzata Czapla; Wiesław Pawłucki. Michael’s theorem for Lipschitz cells in o-minimal structures. Annales Polonici Mathematici, Tome 117 (2016) no. 2, pp. 101-107. doi: 10.4064/ap3931-7-2016

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