nLab Martin Čadek

• webpage

Selected writings

On Sp(2).Sp(1)-structures and related issues:

• Martin Čadek, Jiří Vanžura, On oriented vector bundles over CW-complexes of dimension 6 and 7, Comment. Math. Univ. Carolin. 33,4(1992)727–736 (pdf)

• Martin Čadek, Jiří Vanžura, On the classification of oriented vector bundles over 5-complexes, Czechoslovak Mathematical Journal, Vol. 43 (1993), No. 4, 753–764 (dml:128427)

• Martin Čadek, Jiří Vanžura, On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes, Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 2, pp. 377-394 (dml-cz:118764)

• Martin Čadek, Jiří Vanžura, On $Sp(2)$ and $Sp(2) \cdot Sp(1)$-structures in 8-dimensional vector bundles, Publicacions Matemàtiques Vol. 41, No. 2 (1997), pp. 383-401 (jstor:43737249)

• Martin Čadek, Jiří Vanžura, On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes, Colloquium Mathematicum (1998), 76 (2), pp 213-228 (web)

• Martin Čadek, Jiří Vanžura, Almost quaternionic structures on eight-manifolds, Osaka J. Math. Volume 35, Number 1 (1998), 165-190 (euclid:1200787905)

• Martin Čadek, Jiří Vanžura, Various structures in 8-dimensional vector bundles over 8-manifolds, Banach Center Publications (1998) Volume: 45, Issue: 1, page 183-197 (dml:208903)

• Martin Čadek, Michael Crabb, Jiří Vanžura, Obstruction theory on 8-manifolds, manuscripta math. 127 (2008), 167-186 (arXiv:0710.0734)

• Martin Čadek, Michael Crabb, Jiří Vanžura, Quaternionic structures, Topology and its Applications Volume 157, Issue 18, 1 December (2010), Pages 2850-2863 (doi:10.1016/j.topol.2010.09.005)

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 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)

related $n$Lab entries

• 5-manifold, 8-manifold

• G-structure

• quaternion-Kähler manifold

• Sp(n).Sp(1)

• spin group

• Spin(4), Spin(5), Spin(8)

• triality

• Euler class

category: people