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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

WHITNEY STRATIFICATIONS AND THE CONTINUITY OF LOCAL LIPSCHITZ-KILLING CURVATURES

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Author(s):
Nguyen, Nhan ; Valette, Guillaume [1]
Total Authors: 2
Affiliation:
[1] Uniwersytetu Jagiellonskiego, Inst Matemat, Ul S Lojasiewicza 6, PL-30348 Krakow - Poland
Total Affiliations: 1
Document type: Journal article
Source: ANNALES DE L INSTITUT FOURIER; v. 68, n. 5, p. 2253-2276, 2018.
Web of Science Citations: 0
Abstract

In the paper we prove that the local Lipschitz-Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is (w)-regular the local Lipschitz-Killing curvatures are locally Lipschitz in any o-minimal structure. (AU)

FAPESP's process: 16/14330-0 - Lipschitz geometry of stratified spaces
Grantee:Nguyen Xuan Viet Nhan
Support Opportunities: Scholarships in Brazil - Post-Doctoral