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math.FA2017★ 5 cited
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…
math.FA2017
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…
math.FA2016
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…