• Corpus ID: 238856942

# The Sewing lemma for $0<\gamma \leq 1$

@inproceedings{Broux2021TheSL,
title={The Sewing lemma for \$0<\gamma \leq 1\$},
author={Lucas Broux and Lorenzo Zambotti},
year={2021}
}
• Published 13 October 2021
• Mathematics
We establish a Sewing lemma in the regime γ ∈ (0, 1], constructing a Sewing map which is neither unique nor canonical, but which is nonetheless continuous with respect to the standard norms. Two immediate corollaries follow, which hold on any commutative graded connected locally finite Hopf algebra: a simple constructive proof of the Lyons-Victoir extension theorem which associates to a Hölder path a rough path, with the additional result that this map can be made continuous; the bicontinuity…

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