On supra-SIM sets of natural numbers
Combinatorics
2018-05-16 v1 Number Theory
Abstract
We introduce the class of supra-SIM sets of natural numbers. We prove that this class is partition regular and closed under finite-embeddability. We also prove some results on sumsets and SIM sets motivated by their positive Banach density analogues.
Keywords
Cite
@article{arxiv.1805.05933,
title = {On supra-SIM sets of natural numbers},
author = {Isaac Goldbring and Steven Leth},
journal= {arXiv preprint arXiv:1805.05933},
year = {2018}
}
Comments
9 pages; preliminary draft; Comments welcome!