nLab Lukáš Vokřínek

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Selected writings

Discussion of (equivariant) homotopies and 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)

Discussion of 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)

• Lukáš Vokřínek, Decidability of the extension problem for maps into odd-dimensional spheres, Discrete Comput Geom (2017) 57: 1 (arXiv:1401.3758)

Discussion of equivariant homotopy groups in computational topology:

• Lukáš Vokřínek, Computing the abelian heap of unpointed stable homotopy classes of maps, Archivum Mathematicum, Volume 49 (2013), No. 5 · (arXiv:1312.2474, doi:10.5817/AM2013-5-359)

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