Computing the abelian heap of unpointed stable homotopy classes of maps

Lukáš Vokřínek

Address: Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic


Abstract: An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper [4] 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 [5] of the author. A heap is essentially a group without a choice of its neutral element; in addition, we allow it to be empty.

AMSclassification: primary 55Q05; secondary 55S91.

Keywords: stable homotopy class, computation, heap.

DOI: 10.5817/AM2013-5-359