Heaps and unpointed stable homotopy theory

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Authors

VOKŘÍNEK Lukáš

Year of publication 2014
Type Article in Periodical
Magazine / Source Archivum mathematicum
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.5817/AM2014-5-323
Field General mathematics
Keywords stable homotopy; heap; equivariant; fibrewise
Description 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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