4 citations · 11 across the 9 of their papers we have counts for
11 papers
Lipschitz Functions on Unions and Quotients of Metric Spaces
David M. Freeman, Chris Gartland
Given a finite collection of metric spaces, each of which has finite Nagata dimension and Lipschitz free space isomorphic to , we prove that their union has…
Lipschitz Functions on Quasiconformal Trees
David M. Freeman, Chris Gartland
We first identify (up to linear isomorphism) the Lipschitz free spaces of quasiarcs. By decomposing quasiconformal trees into quasiarcs as done in an article of David, Eriksson-Biq…
Weak Quasicircles Have Lipschitz Dimension 1
David M. Freeman
We prove that the Lipschitz dimension of any bounded turning Jordan circle or arc is equal to 1. In particular, the Lipschitz dimension of any weak quasicircle or arc is equal to 1…
Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces
David Freeman, Enrico Le Donne
We study locally compact metric spaces that enjoy various forms of homogeneity with respect to Möbius self-homeomorphisms. We investigate connections between such homogeneity and t…
Generalized Palindromic Continued Fractions
David M. Freeman
In this paper we introduce a generalization of palindromic continued fractions as studied by Adamczewski and Bugeaud. We refer to these generalized palindromes as -palindromes,…
Invertible Carnot Groups
David M. Freeman
We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the -condition, thus characterizing…