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UID:4644@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170216T140000
DTEND;TZID=Europe/Paris:20170216T150000
DTSTAMP:20170201T130000Z
URL:https://www.i2m.univ-amu.fr/events/on-the-local-geometry-of-definably-
stratified-sets/
SUMMARY:On the local geometry of definably stratified sets -
DESCRIPTION:With Guillaume Valette (IMPAN\, Cracovie).We prove that a 1985
theorem of Pawlucki\, showing that Whitney regularity for a subanalytic se
t S with a smooth singular locus of codimension one implies that S is a fi
nite union of C1 manifolds with boundary\, applies to definable sets in po
lynomially bounded o-minimal structures. We give a refined version of Pawl
ucki's theorem for arbitrary o-minimal structures\, replacing Whitney (b)-
regularity by a quantified version\, and prove related results concerning
normal cones and continuity of the density. We analyse two counterexamples
to the extension of Pawlucki's theorem to definable subsets in general o-
minimal structures\, and to several other statements valid for subanalytic
sets.In particular we give the first example of a Whitney (b)-regular def
inably stratified set for which the density is not continuous along a stra
tum.Webpage
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DTSTART:20161030T020000
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