A dichotomy of sets via typical differentiability
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Publication:5135411
DOI10.1017/fms.2020.45zbMath1458.26015arXiv1909.03487OpenAlexW3096121773MaRDI QIDQ5135411
Publication date: 20 November 2020
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03487
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Lipschitz (Hölder) classes (26A16) Length, area, volume, other geometric measure theory (28A75) Continuity and differentiation questions (26B05) Classification of real functions; Baire classification of sets and functions (26A21)
Cites Work
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- Differentiability inside sets with Minkowski dimension one
- A universal differentiability set in Banach spaces with separable dual
- Typical differentiability within an exceptionally small set
- Differentiability of Lipschitz functions on Banach spaces
- On Borel sets with small cover: A problem of M. Laczkovich
- Universal differentiability sets and maximal directional derivatives in Carnot groups
- Points of non-differentiability of typical Lipschitz functions
- Geometric measure theory.
- Differentiability of Lipschitz functions in Lebesgue null sets
- Cone unrectifiable sets and non-differentiability of Lipschitz functions
- A measure zero universal differentiability set in the Heisenberg group
- Lipschitz functions with unexpectedly large sets of nondifferentiability points
- Application des propriétés descriptives de la fonction contingent à la théorie des fonctions de variable réelle et à la géométrie différentielle des variétés cartesiennes
- Differentiation of Real-Valued Functions and Continuity of Metric Projections
- Covering analytic sets by families of closed set
- Local inversion theorems without assuming continuous differentiability
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