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math.MG2025
On rectifiability in Heisenberg groups without a lower density condition
Kennedy Obinna Idu
We resolve a problem posed by Mattila, Serapioni and Serra Cassano concerning the role of density assumptions in the characterization of rectifiable sets of low codimension in Heis…
math.MG2021★ 1 cited
-rectifiability in low codimension in Heisenberg groups
Kennedy Obinna Idu, Francesco Paolo Maiale
A natural notion of higher order rectifiability is introduced for subsets of Heisenberg groups in terms of covering a set almost everywhere by a countable union of $…
math.MG2020★ 4 cited
Characterizations of -rectifiability in homogenous groups
Kennedy Obinna Idu, Valentino Magnani, Francesco Paolo Maiale
A well known notion of -rectifiable set can be formulated in any metric space using Lipschitz images of subsets of . We prove some characterizations of -rectifi…