Computing All Maps into a Sphere

• 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
• 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.

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