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@article{1725917, author = {Filakovský, Marek and Vokřínek, Lukáš}, article_location = {New York}, article_number = {2}, doi = {http://dx.doi.org/10.1007/s10208-019-09419-x}, keywords = {Homotopy; Suspension; Polycyclic group; Algorithm}, language = {eng}, issn = {1615-3375}, journal = {Foundations of Computational Mathematics}, title = {Are Two Given Maps Homotopic? An Algorithmic Viewpoint}, url = {https://doi.org/10.1007/s10208-019-09419-x}, volume = {20}, year = {2020} }
TY - JOUR ID - 1725917 AU - Filakovský, Marek - Vokřínek, Lukáš PY - 2020 TI - Are Two Given Maps Homotopic? An Algorithmic Viewpoint JF - Foundations of Computational Mathematics VL - 20 IS - 2 SP - 311-330 EP - 311-330 PB - Springer SN - 16153375 KW - Homotopy KW - Suspension KW - Polycyclic group KW - Algorithm UR - https://doi.org/10.1007/s10208-019-09419-x L2 - https://doi.org/10.1007/s10208-019-09419-x N2 - This paper presents two algorithms. The first decides the existence of a pointed homotopy between given simplicial maps f, g : X -> Y, and the second computes the group [Sigma X, Y]* of pointed homotopy classes of maps from a suspension; in both cases, the target Y is assumed simply connected. More generally, these algorithms work relative to A subset of X. ER -
FILAKOVSKÝ, Marek a Lukáš VOKŘÍNEK. Are Two Given Maps Homotopic? An Algorithmic Viewpoint. \textit{Foundations of Computational Mathematics}. New York: Springer, 2020, roč.~20, č.~2, s.~311-330. ISSN~1615-3375. Dostupné z: https://dx.doi.org/10.1007/s10208-019-09419-x.
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