@InProceedings{attali_et_al:LIPIcs.SoCG.2019.11, author = {Attali, Dominique and Lieutier, Andr\'{e} and Salinas, David}, title = {{When Convexity Helps Collapsing Complexes}}, booktitle = {35th International Symposium on Computational Geometry (SoCG 2019)}, pages = {11:1--11:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-104-7}, ISSN = {1868-8969}, year = {2019}, volume = {129}, editor = {Barequet, Gill and Wang, Yusu}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2019.11}, URN = {urn:nbn:de:0030-drops-104152}, doi = {10.4230/LIPIcs.SoCG.2019.11}, annote = {Keywords: collapsibility, convexity, collection of compact convex sets, nerve, filtration, Delaunay complex, Cech complex, Rips complex} }