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
Pages
11
From page
592
To page
602
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
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561756
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