Michael's theorem for Lipschitz cells in o-minimal structures

Małgorzata Czapla, and Wiesław Pawłucki. "Michael's theorem for Lipschitz cells in o-minimal structures." Annales Polonici Mathematici 117.2 (2016): 101-107. <http://eudml.org/doc/286465>.

@article{MałgorzataCzapla2016,
abstract = {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-LCⁿ property for such families of cells is checked. An example is given showing that the assumption about the common Lipschitz constant cannot be omitted.},
author = {Małgorzata Czapla, Wiesław Pawłucki},
journal = {Annales Polonici Mathematici},
keywords = {Michael's theorem; Lipschitz cell; o-minimal structure; uniform equi-lcn},
language = {eng},
number = {2},
pages = {101-107},
title = {Michael's theorem for Lipschitz cells in o-minimal structures},
url = {http://eudml.org/doc/286465},
volume = {117},
year = {2016},
}

TY - JOUR
AU - Małgorzata Czapla
AU - Wiesław Pawłucki
TI - Michael's theorem for Lipschitz cells in o-minimal structures
JO - Annales Polonici Mathematici
PY - 2016
VL - 117
IS - 2
SP - 101
EP - 107
AB - 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-LCⁿ property for such families of cells is checked. An example is given showing that the assumption about the common Lipschitz constant cannot be omitted.
LA - eng
KW - Michael's theorem; Lipschitz cell; o-minimal structure; uniform equi-lcn
UR - http://eudml.org/doc/286465
ER -