@InProceedings{goaoc_et_al:LIPIcs.SoCG.2021.40,
  author =	{Goaoc, Xavier and Holmsen, Andreas F. and Pat\'{a}kov\'{a}, Zuzana},
  title =	{{A Stepping-Up Lemma for Topological Set Systems}},
  booktitle =	{37th International Symposium on Computational Geometry (SoCG 2021)},
  pages =	{40:1--40:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-184-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{189},
  editor =	{Buchin, Kevin and Colin de Verdi\`{e}re, \'{E}ric},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2021.40},
  URN =		{urn:nbn:de:0030-drops-138396},
  doi =		{10.4230/LIPIcs.SoCG.2021.40},
  annote =	{Keywords: Helly-type theorem, Topological combinatorics, Homological minors, Stair convexity, Cubical complexes, Homological VC dimension, Ramsey-type theorem}
}