English

Computing the abelian heap of unpointed stable homotopy classes of maps

Algebraic Topology 2013-12-10 v1 Computational Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1312.2474,
  title  = {Computing the abelian heap of unpointed stable homotopy classes of maps},
  author = {Lukáš Vokřínek},
  journal= {arXiv preprint arXiv:1312.2474},
  year   = {2013}
}