This is an announcement for the paper “On coarse Lipschitz embeddability into $c_0(\kappa)$” by Andrew Swifthttps://arxiv.org/find/math/1/au:+Swift_A/0/1/0/all/0/1.
Abstract: 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 into $c_0(\kappa)$ for some cardinality $\kappa$. In this paper it is shown that coarse Lipschitz embeddability of a metric space into $c_0(\kappa)$ can be characterized in a similar manner. It is also shown that coarse, uniform, and bi-Lipschitz embeddability into $c_0(\kappa)$ are equivalent notions for normed linear spaces.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1611.04623