RAPTIS, G. and Jiří ROSICKÝ. The accessibility rank of weak equivalences. Theory and Applications of Categories. Halifax, 2015, vol. 30, No 1, p. 687-703. ISSN 1201-561X.
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Basic information
Original name The accessibility rank of weak equivalences
Name in Czech Řád dosažitelnosti slabých ekvivalencí.
Authors RAPTIS, G. (300 Greece) and Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution).
Edition Theory and Applications of Categories, Halifax, 2015, 1201-561X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Canada
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.641
RIV identification code RIV/00216224:14310/15:00080806
Organization unit Faculty of Science
UT WoS 000355309900019
Keywords (in Czech) modelová kategorie, slabá ekvivalence, dosažitelná kategorie
Keywords in English model category; weak equivalence; accessible category
Tags AKR, rivok
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 10/11/2021 10:48.
Abstract
We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible.
Abstract (in Czech)
Studujeme vlastnosti dosažitelnosti triviálních kofibrací a slabých ekvivalencí v kombinatorické modelové kategorii a stanovujeme řád dosažitelnosti slabých ekvivalencí. Zejména ukazujeme, že třída slabých ekvivalencí simpliciálních množin je konečně dosažitelná.
Links
GAP201/11/0528, research and development projectName: Modelové kategorie
Investor: Czech Science Foundation
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