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math.MG2021
Identifying 1-rectifiable measures in Carnot groups
Matthew Badger, Sean Li, Scott Zimmerman
We continue to develop a program in geometric measure theory that seeks to identify how measures in a space interact with canonical families of sets in the space. In particular, ex…
math.MG2021
Whitney's Extension Theorem and the finiteness principle for curves in the Heisenberg group
Scott Zimmerman
Consider the sub-Riemannian Heisenberg group . In this paper, we answer the following question: given a compact set and a continuous map $f:K \…