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arxiv: 1412.6403 · v1 · pith:LJSQCJZ3new · submitted 2014-12-19 · 🧮 math.FA

Removability of exceptional sets for differentiable and Lipschitz functions

classification 🧮 math.FA
keywords functionslipschitzremovabilityconcerningconditionsconsiderationdifferentiabilitydifferentiable
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We discuss removability problems concerning differentiability and pointwise Lipschitz conditions for functions of a real variable. We prove that, in each of the settings under consideration, a set is removable if and only if it has no perfect subsets.

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