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.
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