English

Heaps and unpointed stable homotopy theory

Algebraic Topology 2013-12-09 v1 Category Theory

Abstract

In this paper, we show how certain ``stability phenomena'' in unpointed model categories provide the sets of homotopy classes with the structure of abelian heaps, i.e. abelian groups without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty.

Keywords

Cite

@article{arxiv.1312.1709,
  title  = {Heaps and unpointed stable homotopy theory},
  author = {Lukáš Vokřínek},
  journal= {arXiv preprint arXiv:1312.1709},
  year   = {2013}
}
R2 v1 2026-06-22T02:21:59.544Z