Abstract
We introduce a stochastic generalization of Lipschitz retracts, and apply it to the extension problems of Lipschitz, Hölder, large-scale Lipschitz and large-scale Hölder maps into barycentric metric spaces. Our discussion gives an appropriate interpretation of a work of Lee and Naor.
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Partly supported by the JSPS fellowship for research abroad.
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Ohta, Si. Extending Lipschitz and Hölder maps between metric spaces. Positivity 13, 407–425 (2009). https://doi.org/10.1007/s11117-008-2202-2
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DOI: https://doi.org/10.1007/s11117-008-2202-2