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• W3007491586 abstract "We study the quantitative properties of Lipschitz mappings from Euclidean spaces into metric spaces. We prove that it is always possible to decompose the domain of such a mapping into pieces on which the mapping “behaves like a projection mapping” along with a “garbage set” that is <bold>arbitrarily small</bold> in an appropriate sense. Moreover, our control is quantitative, i.e., independent of both the particular mapping and the metric space it maps into. This improves a theorem of Azzam-Schul from the paper “Hard Sard”, and answers a question left open in that paper. The proof uses ideas of quantitative differentiation, as well as a detailed study of how to supplement Lipschitz mappings by additional coordinates to form bi-Lipschitz mappings." @default.
• W3007491586 created "2020-03-06" @default.
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• W3007491586 date "2023-05-19" @default.
• W3007491586 modified "2023-10-15" @default.
• W3007491586 title "Quantitative decompositions of Lipschitz mappings into metric spaces" @default.
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• W3007491586 doi "https://doi.org/10.1090/tran/8930" @default.
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