Whitney stratifications and the continuity of local Lipschitz Killing curvatures

2015/07/05 by Nhan Nguyen, Nguyen, Nhan, Guillaume Valette +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1507.01262

13 pages

arxiv created 2015/07/05 · arxiv updated 2015/07/07

Abstract

We prove that local Lipschitz Killing curvatures of definable sets in a polynomially bounded o-minimal structure are continuous along strata of Whitney stratifications and locally Lipschitz if the stratifications are (w)- regular.

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