Helly's theorem for systolic complexes
Group Theory
2016-03-27 v1 Combinatorics
Abstract
We prove the analogue of Helly's theorem for systolic complexes. Namely, we show that 7-systolic complexes have Helly dimension less or equal to 1, whereas 6-systolic complexes have Helly dimension bounded from the above by 2.
Cite
@article{arxiv.1405.5194,
title = {Helly's theorem for systolic complexes},
author = {Krzysztof Święcicki},
journal= {arXiv preprint arXiv:1405.5194},
year = {2016}
}
Comments
12 pages, 11 figures