Computing All Maps into a Sphere
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Journal of the ACM |
| MU Faculty or unit | |
| 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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