Computing All Maps into a Sphere

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

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	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.
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