VOKŘÍNEK, Lukáš. Heaps and unpointed stable homotopy theory. Archivum mathematicum. 2014, vol. 50, No 5, p. 323-332. ISSN 0044-8753. Available from: https://dx.doi.org/10.5817/AM2014-5-323.
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Basic information
Original name Heaps and unpointed stable homotopy theory
Authors VOKŘÍNEK, Lukáš (203 Czech Republic, guarantor, belonging to the institution).
Edition Archivum mathematicum, 2014, 0044-8753.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/14:00074506
Organization unit Faculty of Science
Doi http://dx.doi.org/10.5817/AM2014-5-323
UT WoS 000434517900007
Keywords in English stable homotopy; heap; equivariant; fibrewise
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 8/4/2015 14:57.
Abstract
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.
Links
GAP201/11/0528, research and development projectName: Modelové kategorie
Investor: Czech Science Foundation
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