O -minimal Λ m -regular stratification

Annals of Pure and Applied Logic 147 (1):101-112 (2007)
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Abstract

Let be an o-minimal structure expanding a real closed field R. We show that any definable set in Rn can be stratified into cells, whose defining functions are smooth Lipschitz continuous functions with constant 2n3/2, which have additional regularity conditions on the derivatives of higher order

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10.1016/j.apal.2007.04.002

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Citations of this work

O-minimal analytic separation of sets in dimension 2.Andreas Fischer - 2009 - Annals of Pure and Applied Logic 157 (2-3):130-138.
Approximation of o-minimal maps satisfying a Lipschitz condition.Andreas Fischer - 2014 - Annals of Pure and Applied Logic 165 (3):787-802.

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References found in this work

Intersection theory for o-minimal manifolds.Alessandro Berarducci & Margarita Otero - 2001 - Annals of Pure and Applied Logic 107 (1-3):87-119.

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