Computing the abelian heap of unpointed stable homotopy classes of maps

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Authors

VOKŘÍNEK Lukáš

Year of publication 2013
Type Article in Periodical
Magazine / Source Archivum mathematicum
MU Faculty or unit

Faculty of Science

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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