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UID:1587@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170216T140000
DTEND;TZID=Europe/Paris:20170216T150000
DTSTAMP:20170201T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-local-geometry-of-defina
 bly-stratified-sets/
SUMMARY: (...): On the local geometry of definably stratified sets
DESCRIPTION:: With Guillaume Valette (IMPAN\, Cracovie).We prove that a 198
 5 theorem of Pawlucki\, showing that Whitney regularity for a subanalytic 
 set S with a smooth singular locus of codimension one implies that S is a 
 finite union of C1 manifolds with boundary\, applies to definable sets in 
 polynomially bounded o-minimal structures. We give a refined version of Pa
 wlucki's theorem for arbitrary o-minimal structures\, replacing Whitney (b
 )-regularity by a quantified version\, and prove related results concernin
 g normal cones and continuity of the density. We analyse two counterexampl
 es to the extension of Pawlucki's theorem to definable subsets in general 
 o-minimal structures\, and to several other statements valid for subanalyt
 ic sets.In particular we give the first example of a Whitney (b)-regular d
 efinably stratified set for which the density is not continuous along a st
 ratum.Webpage
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DTSTART:20161030T020000
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