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UID:7771@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160630T140000
DTEND;TZID=Europe/Paris:20160630T150000
DTSTAMP:20241120T204826Z
URL:https://www.i2m.univ-amu.fr/evenements/tangent-cones-and-c-1-regularit
 y-of-definable-sets/
SUMMARY: (...): Tangent cones and $C^1$ regularity of definable sets
DESCRIPTION:: In this talk we will present some criteria of tangent cones s
 o that a definable set is a $C^1$ manifold. Namely\, let $X$ be a connecte
 d locally closed definable set in $R^n$\, we show that the following state
 ments are equivalent1) $X$ is a $C^1$ manifold2) Tangent cone and paratang
 ent cone of $X$ coincide\,3) The tangent cone $T_x X$ of $X$ at the point 
 $x$ is k-dimensional linear subspace of $R^n$ (k does not depend on $x$) v
 aries continuously in $x$\, and the density $\\theta(X\, x) < 3/2$.
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DTSTART:20160327T030000
TZOFFSETFROM:+0100
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