High dimensional analogue of metric distortion for simplicial complexes
Metric Geometry
2014-12-23 v1 Combinatorics
Abstract
We suggest a new possible high dimensional analogue to metric distortion. We then show a possible method for providing lower bounds to this distortion and use this method to prove a "Bourgain-type" distortion theorem for Linial-Meshulam random complexes.
Keywords
Cite
@article{arxiv.1412.7142,
title = {High dimensional analogue of metric distortion for simplicial complexes},
author = {Izhar Oppenheim},
journal= {arXiv preprint arXiv:1412.7142},
year = {2014}
}
Comments
21 pages