nLab Marek Krčál

Selected writings

On Cohomotopy-sets in computational topology:

• Martin Čadek, Marek Krčál, Jiří Matoušek, Francis Sergeraert, Lukáš Vokřínek, Uli Wagner, Computing all maps into a sphere, Journal of the ACM, Volume 61 Issue 3, May 2014 Article No. 1 (arxiv:1105.6257)

Discussion of homotopy groups in computational topology:

• Martin Čadek, Marek Krčál, Jiří Matoušek, Lukáš Vokřínek, Uli Wagner, Polynomial-time computation of homotopy groups and Postnikov systems in fixed dimension, SIAM J. Comput., 43(5), 1728–1780 (arXiv:1211.3093, doi:10.1137/120899029)

• Martin Čadek, Marek Krčál, Jiří Matoušek, Lukáš Vokřínek, Uli Wagner, Extendability of continuous maps is undecidable, Discrete Comput Geom (2014) 51: 24 (arXiv:1302.2370, doi:10.1007/s00454-013-9551-8)

On persistent Cohomotopy and its improvement over well groups:

• Peter Franek, Marek Krčál, On Computability and Triviality of Well Groups, Discrete Comput Geom (2016) 56: 126 (arXiv:1501.03641, doi:10.1007/s00454-016-9794-2)

• Peter Franek, Marek Krčál, Persistence of Zero Sets, Homology, Homotopy and Applications, Volume 19 (2017) Number 2 (arXiv:1507.04310, doi:10.4310/HHA.2017.v19.n2.a16)

• Peter Franek, Marek Krčál, Cohomotopy groups capture robust Properties of Zero Sets via Homotopy Theory, talk at ACAT meeting 2015 (pfd slides)

• Peter Franek, Marek Krčál, Hubert Wagner, Solving equations and optimization problems with uncertainty, J Appl. and Comput. Topology (2018) 1: 297 (arxiv:1607.06344, doi:10.1007/s41468-017-0009-6)

category: people