@InProceedings{keller_et_al:LIPIcs.SoCG.2021.47, author = {Keller, Chaya and Perles, Micha A.}, title = {{No Krasnoselskii Number for General Sets}}, booktitle = {37th International Symposium on Computational Geometry (SoCG 2021)}, pages = {47:1--47:11}, 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.2021.47}, URN = {urn:nbn:de:0030-drops-138462}, doi = {10.4230/LIPIcs.SoCG.2021.47}, annote = {Keywords: visibility, Helly-type theorems, Krasnoselskii’s theorem, transfinite induction, well-ordering theorem} }