Edited by François Fillastre (CRM CNRS-IRL visitor in 2019-2020) and Dmitriy Slutskiy, this publication presents English translations of articles of Yu. G. Reshetnyak about surfaces of bounded curvature originally published in Russian. These articles are the only references for the complete proofs of Reshetnyak’s theorem on the subject. Contemporary articles providing a comprehensive introduction and a survey of the topic are also included.
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