A NOTE ON SOME TOPOLOGICAL PROPERTIES OF SETS WITH FINITE PERIMETER

DOI10.1017/S0017089515000385zbMath1355.28004OpenAlexW2482226653MaRDI QIDQ2816785

Silvano Delladio

Publication date: 25 August 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089515000385

zbMATH Keywords

set of finite perimeterdensity pointLusin-Menchoff property

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (11)

A closure result for differential forms in the context of superdensity, approximation of measurable functions by density-degree functions ⋮ A Lusin type result ⋮ Approximate continuity and differentiability with respect to density degree, an application to BV and Sobolev functions ⋮ Superdensity with respect to a Radon measure on \(\mathbb{R}^n\) ⋮ Structure results for the integral set of a submanifold with respect to a non-integrable exterior differential system ⋮ Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set ⋮ \(m\)-approximate Taylor polynomial ⋮ The identity G(D)f = F for a linear partial differential operator G(D). Lusin type and structure results in the non-integrable case ⋮ Generalized densities on \(\mathbb{R}^n\) and their applications ⋮ Some results about the structure of primitivity domains for linear partial differential operators with constant coefficients ⋮ A fine property of sets at points of Lebesgue density

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• Morse-Sard theorem for d.c. functions and mappings on $\mathbb{R}^2$

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