An Incidence Result for Well-Spaced Atoms in all Dimensions
Combinatorics
2020-09-25 v1
Abstract
We prove an incidence result counting the -rich -tubes induced by a well-spaced set of -atoms. Our result coincides with the bound that would be heuristically predicted by the Szemer\'edi--Trotter Theorem and holds in all dimensions .
Keywords
Cite
@article{arxiv.2009.11765,
title = {An Incidence Result for Well-Spaced Atoms in all Dimensions},
author = {Peter Bradshaw},
journal= {arXiv preprint arXiv:2009.11765},
year = {2020}
}
Comments
9 pages. Comments welcome