Two theorems in geometric measure theory

DOI10.1090/S0002-9904-1966-11567-7zbMath0147.31502OpenAlexW2095343433MaRDI QIDQ5525536

Herbert Federer

Publication date: 1966

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1966-11567-7

zbMATH Keywords

differentiation and integration, measure theory

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items

Quasi-invariant measures on the torus \(\mathbb{T}^d\) ⋮ CLT for the zeros of classical random trigonometric polynomials ⋮ A bridge between Dubovitskiĭ-Federer theorems and the coarea formula ⋮ The generalized Morse-Sard theorem ⋮ On some universal Morse-Sard type theorems ⋮ Scaling exponents of curvature measures ⋮ The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings ⋮ Points of uniqueness of differentials ⋮ Asymptotic variance of the number of real roots of random polynomial systems ⋮ The Cauchy problem for a nonlinear first order partial differential equation ⋮ The \((\varphi k)\) rectifiable subsets of a homogeneous space ⋮ On the hausdorff dimension of the singular set of stable-stationary harmonic maps ⋮ On the sharpness of assumptions in the Federer theorem

Cites Work

• The behavior of a function on its critical set
• Curvature Measures
• Hausdorff Measure of Critical Images on Banach Manifolds
• Integral Geometry in Homogeneous Spaces

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