6533b7d5fe1ef96bd1263ded

RESEARCH PRODUCT

On the points realizing the distance to a definable set

Maciej P. Denkowski

subject

Discrete mathematicsLemma (mathematics)Applied MathematicsSubanalytic setsdefinable setsSubmanifoldsubanalytic setsEuclidean distanceAlgebraMultifunctionsDefinable setDefinable setstame geometryAnalysisTame geometryMathematicsmultifunctions

description

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.

yearjournalcountryeditionlanguage
2011-06-01
10.1016/j.jmaa.2011.02.002https://ruj.uj.edu.pl/xmlui/handle/item/74494