Sean Li

activity

20092025

most citedCharacterizations of rectifiable metric measure spaces

28 citations · 102 across the 27 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.MG2014★ 28 cited

Characterizations of rectifiable metric measure spaces

David Bate, Sean Li

We characterize $n$ -rectifiable metric measure spaces as those spaces that admit a countable Borel decomposition so that each piece has positive and finite $n$ -densities and one of…

math.MG2014★ 4 cited

Markov convexity and nonembeddability of the Heisenberg group

Sean Li

We compute the Markov convexity invariant of the continuous infinite dimensional Heisenberg group $H_{\infty}$ to show that it is Markov 4-convex and cannot be Markov $p$ -co…

math.MG2014★ 5 cited

An upper bound for the length of a Traveling Salesman path in the Heisenberg group

Sean Li, Raanan Schul

We show that a sufficient condition for a subset $E$ in the Heisenberg group (endowed with the Carnot-Carathéodory metric) to be contained in a rectifiable curve is that it satisfi…