@article{7960,
abstract = {Let A={A1,…,An} be a family of sets in the plane. For 0≤i2b be integers. We prove that if each k-wise or (k+1)-wise intersection of sets from A has at most b path-connected components, which all are open, then fk+1=0 implies fk≤cfk−1 for some positive constant c depending only on b and k. These results also extend to two-dimensional compact surfaces.},
author = {Kalai, Gil and Patakova, Zuzana},
issn = {14320444},
journal = {Discrete and Computational Geometry},
pages = {304--323},
publisher = {Springer Nature},
title = {{Intersection patterns of planar sets}},
doi = {10.1007/s00454-020-00205-z},
volume = {64},
year = {2020},
}