Title of article :
On the points realizing the distance to a definable set
Author/Authors :
Denkowski، نويسنده , , Maciej P.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Abstract :
We prove a definable/subanalytic version of a useful lemma, presumably due to John Nash, concerning the points realizing the Euclidean distance to an analytic submanifold of R n . We present a parameter version of the main result and we discuss the properties of the multifunction obtained.
Keywords :
Definable sets , Tame geometry , Subanalytic sets , Multifunctions
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications