F. Baudier

activity

20162026

most citedLipschitz Embeddings of Metric Spaces into

c_{0}

1 citations · 1 across the 12 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.OA2021

Uniform Roe algebras of uniformly locally finite metric spaces are rigid

Florent P. Baudier, Bruno de Mendonça Braga, Ilijas Farah +3

We show that if $X$ and $Y$ are uniformly locally finite metric spaces whose uniform Roe algebras, $\cstu(X)$ and $\cstu(Y)$, are isomorphic as \cstar-algebras, then $X$ and $Y$ ar…

math.MG2021

No dimension reduction for doubling subsets of $ℓ_{q}$ when $q > 2$ revisited

Florent P. Baudier, Krzysztof Swieçicki, Andrew Swift

We revisit the main results from \cites{BGN_SoCG14,BGN_SIAM15} and \cite{LafforgueNaor14_GD} about the impossibility of dimension reduction for doubling subsets of $ℓ_{q}$ for $q>…

math.MG2021

Umbel convexity and the geometry of trees

Florent P. Baudier, Chris Gartland

For every $p \in (0, \infty)$ , a new metric invariant called umbel $p$ -convexity is introduced. The asymptotic notion of umbel convexity captures the geometry of countably branching t…

Uniform Roe algebras of uniformly locally finite metric spaces are rigid

No dimension reduction for doubling subsets of ℓq​ when q>2 revisited

Umbel convexity and the geometry of trees

No dimension reduction for doubling subsets of $ℓ_{q}$ when $q > 2$ revisited