This is an announcement for the paper "Uniform nonextendability from nets" by Assaf Naor.

Abstract: It is shown that there exist Banach spaces $X,Y$, a $1$-net $\mathscr{N}$ of $X$ and a Lipschitz function $f:\mathscr{N}\to Y$ such that every $F:X\to Y$ that extends $f$ is not uniformly continuous.

Archive classification: math.MG math.FA

Submitted from: naor@math.princeton.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1506.05391

or

http://arXiv.org/abs/1506.05391