Computing All Maps into a Sphere

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Authors	ČADEK Martin KRČÁL Marek MATOUŠEK Jiří VOKŘÍNEK Lukáš WAGNER Uli SERGEREART Francis
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Journal of the ACM
MU Faculty or unit	Faculty of Science
Citation
Web	http://dl.acm.org/citation.cfm?id=2628069&picked=prox&CFID=376770929&CFTOKEN=17552719
Doi	http://dx.doi.org/10.1145/2597629
Field	General mathematics
Keywords	Computational topology; homotopy groups; Postnikov systems
Description	We give an algorithm which for given finite simplicial complexes X and Y such that the dimension of X is less than 2d-1 and Y is (d-1)-connected (d bigger than 1) computes the structure of the group [X,Y] of all homotopy classes of maps from X to Y.
Related projects:	Mathematical structures and their physical applications