Masaryk University

Publication Records

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    2020

    1. ČADEK, Martin, Michael CRABB and Tomáš SALAČ. Obstruction theory on 7-manifolds. Manuscripta mathematica. Heidelberg: Springer Heidelberg, 2020, vol. 163, 3-4, p. 343-359. ISSN 0025-2611. Available from: https://dx.doi.org/10.1007/s00229-019-01165-2.

    2018

    1. ČADEK, Martin. Geometrické algoritmy, Multimediální elektronický výukový materiál (Computational Geometry, Multimedia publication). 2018.

    2017

    1. ČADEK, Martin, Marek KRČÁL and Lukáš VOKŘÍNEK. Algorithmic Solvability of the Lifting Extension Problem. Discrete & Computational Geometry. New York: Springer, 2017, vol. 57, No 4, p. 915-965. ISSN 0179-5376. Available from: https://dx.doi.org/10.1007/s00454-016-9855-6.

    2014

    1. ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK, Uli WAGNER and Francis SERGEREART. Computing All Maps into a Sphere. Journal of the ACM. 2014, vol. 61, No 3, p. "neuvedeno", 44 pp. ISSN 0004-5411. Available from: https://dx.doi.org/10.1145/2597629.
    2. ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK and Uli WAGNER. Extendability of Continuous Maps Is Undecidable. Discrete & Computational Geometry. 2014, vol. 51, No 1, p. 24-66. ISSN 0179-5376. Available from: https://dx.doi.org/10.1007/s00454-013-9551-8.
    3. ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK and Uli WAGNER. Polynomial-Time Computation of Homotopy Groups and Postnikov Systems in Fixed Dimension. SIAM Journal on Computing. USA: SIAM, 2014, vol. 43, No 5, p. 1728-1780. ISSN 0097-5397. Available from: https://dx.doi.org/10.1137/120899029.

    2013

    1. ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK and Uli WAGNER. Extending Continuous Maps: Polynomiality and Undecibility. In Joan Feigenbaum. Proceedings of the 45th annual ACM symposium on Symposium on theory of computing. New York, USA: Association for Computing Machinery, 2013, p. 595-604. ISBN 978-1-4503-2029-0. Available from: https://dx.doi.org/10.1145/2488608.2488683.

    2012

    1. ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Francis SERGERAERT, Lukáš VOKŘÍNEK and Uli WAGNER. Computing maps into a sphere. In Yuval Rabani. Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, Kyoto, Japan, January 17-19, 2012. Philadelphia, USA: Society for Industrial and Applied Mathematics, 2012, p. 1-10. ISBN 978-1-4503-1245-5.

    2010

    1. ČADEK, Martin, Michael CRABB and Jiří VANŽURA. Quaternionic structures. Topology and its Applications. 2010, 157 (2010, No 15, p. 2850-2863. ISSN 0166-8641.

    2008

    1. ČADEK, Martin, Michael CRABB and Jiří VANŽURA. Obstruction theory on 8-manifolds. Manuscripta Mathematica. 2008, 127(2008), No 2, p. 167-186. ISSN 0025-2611.

    2006

    1. ČADEK, Martin and Michael CRABB. G-structures on spheres. Proceedings of the London mathematical society. Cambridge: Cambridge University Press, 2006, 93 (2006), No 3, p. 791-816. ISSN 0024-6115.

    2003

    1. ČADEK, Martin, Jiří VANŽURA and Mamoru MIMURA. The cohomology rings of Stiefel manifolds with integer coefficients. Journal of Mathematics of Kyoto University. Kyoto (Japonsko), 2003, vol. 43, No 2, p. 425-442. ISSN 0023-608X.

    1999

    1. ČADEK, Martin. The cohomology rings of BO(n) with twisted integer coefficients. Journal of Mathematics of Kyoto University. Kyoto (Japonsko), 1999, vol. 39, No 2, p. 277-286. ISSN 0023-608X.

    1998

    1. ČADEK, Martin and Jiří VANŽURA. Almost quaternionic structures on eight-manifolds. Osaka Journal of Mathematics. 1998, vol. 35, No 1, p. 165-190. ISSN 0030-6126.
    2. ČADEK, Martin and Jiří VANŽURA. On complex structures in 8-dimensional vector bundles. Manuscripta Mathematica. 1998, roč. 95, No 3, p. 323-330. ISSN 0025-2611.
    3. ČADEK, Martin and Jiří VANŽURA. On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicum. 1998, roč. 76, No 2, p. 213-228. ISSN 0010-1354.
    4. ČADEK, Martin and Jiří VANŽURA. Various structures in 8-dimensional vector bundles over 8-manifolds. In Homotopy and Geometry. Warszawa (Poland): Institute of Mathematics, Polish Academy of Sciences, 1998, p. 183-197. Banach Center Publications, vol. 45.

    1997

    1. ČADEK, Martin and Jiří VANŽURA. On Sp(2) and Sp(2).Sp(1)-structures in 8-dimensional vector bundles. Publicacions Matemátiques. 1997, vol. 41, No 2, p. 383-401. ISSN 0214-1493.

    1996

    1. ČADEK, Martin and Jiří VANŽURA. On 2-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicum. 1996, vol. 70, No 1, p. 25-40. ISSN 0010-1354.

    1995

    1. ČADEK, Martin and Jiří VANŽURA. On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes. Commentationes Mathematicae Universitatis Carolinae. Praque, 1995, vol. 36, No 2, p. 377-394. ISSN 0010-2628.
    2. ČADEK, Martin and Jiří VANŽURA. The cohomology rings of BO(n) and BSO(n) with Z/2^mZ coefficients. Journal of Mathematics of Kyoto University. Kyoto (Japonsko), 1995, vol. 35, No 1, p. 35-41. ISSN 0023-608X.

    1994

    1. ČADEK, Martin and Jiří VANŽURA. On the classification of oriented vector bundles over 9-complexes. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II. Palermo (Italy), 1994, vol. 37, No 1, p. 33-40. ISSN 0009-725X.

    1993

    1. ČADEK, Martin and Jiří VANŽURA. Classification of oriented vector bundles over 5-complexes. Czechoslovak Math. J. Prague, 1993, 43 (118), No 4, p. 753-764. ISSN 0011-4642.

    1992

    1. ČADEK, Martin and Jiří VANŽURA. On oriented vector bundles over CW-complexes of dimension 6 and 7. Commentationes Mathematicae Universitatis Carolinae. Praque, 1992, vol. 33, No 4, p. 727-736. ISSN 0010-2628.

    1991

    1. ČADEK, Martin and Jaromír ŠIMŠA. Decomposition of smooth functions of two multidimensional variables. Czechoslovak Math. J. Prague, 1991, 41 (116), p. 342-358. ISSN 0011-4642.

    1990

    1. ČADEK, Martin. A note to pointwise transformations of quasi-differential equations. Archivum Mathematicum. Brno: Masaryk University, 1990, vol. 26, No 1, p. 27-35. ISSN 0044-8753.
    2. ČADEK, Martin and Jaromír ŠIMŠA. Decomposable functions of two multidimensional variables. Aequationes Mathematicae. 1990, vol. 40, p. 8-25. ISSN 00019054/90/.
    3. ČADEK, Martin. Pointwise transformations of linear differential equations. Archivum Mathematicum. Brno: Masaryk University, 1990, vol. 26, No 4, p. 187-200. ISSN 0044-8753.

    1989

    1. ČADEK, Martin. Oscillatory properties of second order linear differential equations in the comples domain. Commentationes Mathematicae Universitatis Carolinae. Praque, 1989, vol. 30, No 1, p. 17-21. ISSN 0010-2628.

    1985

    1. ČADEK, Martin. Form of general pointwise transformations of linear differential equations. Czechoslovak Math. J. Prague, 1985, 35 (110), p. 617-624. ISSN 0011-4642.
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