This is an announcement for the paper “On Embeddings of Finite Subsets of $\ell_p$” by James Kilbanehttps://arxiv.org/find/math/1/au:+Kilbane_J/0/1/0/all/0/1.

Abstract: We study finite subsets of $\ell_p$ and show that, up to nowhere dense and Haar null complement, all of them embed isometrically into any Banach space that uniformly contains the spaces $\ell_p^n, n\in\mathbb{N}$.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1704.00319