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The universal Lipschitz path space of the Heisenberg group $\mathbb{H}^1$ [PDF]

open access: yesarXiv
The goal of this paper is to define and inspect a metric version of the universal path space and study its application to purely 2-unrectifiable spaces, in particular the Heisenberg group $\mathbb{H}^1$. The construction of the universal Lipschitz path space, as the metric version is called, echoes the construction of the universal cover for path ...
arxiv  

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