An example of a doubling "inherently" infinite-dimensional subset of $l_2$
Metric Geometry
2017-04-25 v2 Functional Analysis
Abstract
We construct a doubling subset of which cannot be biLipschitz embedded in any finite dimensional Euclidean space. This answers a question of Lang and Plaut.
Keywords
Cite
@article{arxiv.1703.10265,
title = {An example of a doubling "inherently" infinite-dimensional subset of $l_2$},
author = {Andrea Schioppa},
journal= {arXiv preprint arXiv:1703.10265},
year = {2017}
}
Comments
The paper is withdrawn as there seems to be an issue with the duality argument