Real Algebraic and Analytic Geometry

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141. Guillaume Valette:
Volume, Density And Whitney Conditions.


Submission: 2004, October 15.

This paper studies the variation of the volume of a subanalytic family of sets. More precisely we are interested in the variation of the density. We prove that the density is continuous along a stratum of a Whitney subanalytic stratification and locally lipschitzian when the stratification satisfies the Kuo-Verdier condition. This problem had been studied by Comte in [C].

Mathematics Subject Classification (1991): 14A10, 14M99, 14R99.

Full text, 11p.: pdf 189k.

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