5 citations · 5 across the 4 of their papers we have counts for
6 papers
No dimension reduction for doubling subsets of when 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 for $q>…
Asymptotic dimension and coarse embeddings in the quantum setting
Javier Alejandro Chávez-Domínguez, Andrew T. Swift
We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymp…
Connectivity for quantum graphs
Javier Alejandro Chávez-Domínguez, Andrew T. Swift
In quantum information theory there is a construction for quantum channels, appropriately called a quantum graph, that generalizes the confusability graph construction for classica…
A coding of bundle graphs and their embeddings into Banach spaces
Andrew Swift
The purpose of this article is to generalize some known characterizations of Banach space properties in terms of graph preclusion. In particular, it is shown that superreflexivity…
Coarse embeddings into superstable spaces
Bruno de Mendonça Braga, Andrew Swift
Krivine and Maurey proved in 1981 that every stable Banach space contains almost isometric copies of , for some . In 1983, Raynaud showed that if a Banach s…
On coarse Lipschitz embeddability into
Andrew Swift
In 1994, Jan Pelant proved that a metric property related to the notion of paracompactness called the uniform Stone property characterizes a metric space's uniform embeddability in…