Heaps and unpointed stable homotopy theory

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.

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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

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

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Abstract

V originále

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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Links

GAP201/11/0528, research and development project

Name: Modelové kategorie Investor: Czech Science Foundation