Computing the abelian heap of unpointed stable homotopy classes of maps
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Archivum mathematicum |
| MU Faculty or unit | |
| Citation | |
| Web | http://emis.muni.cz/journals/AM/13-5/index.html |
| Doi | http://dx.doi.org/10.5817/AM2013-5-359 |
| Field | General mathematics |
| Keywords | stable homotopy class; computation; heap |
| Description | An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper of the author and his collaborators. In the present paper, we describe a simplification of this computation that uses an abelian heap structure on this set that was observed in another paper of the author. A heap is essentially a group without a choice of its neutral element; in addition, we allow it to be empty. |
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