Heaps and Unpointed Stable Homotopy Theory

  title={Heaps and Unpointed Stable Homotopy Theory},
  author={Luk{\'a}s Vokr{\'i}nek},
In this paper, we show how certain “stability phenomena” in unpointed model categories provide the sets of homotopy classes with a canonical structure of an abelian heap, i.e. an abelian group without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty. 

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