ADÁMEK, Jiří and Jiří ROSICKÝ. How nice are free completions of categories? Topology and its Applications. Amsterdam: Elsevier, 2020, vol. 273, No 1, p. 1-24. ISSN 0166-8641. Available from: https://dx.doi.org/10.1016/j.topol.2019.106972.
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Basic information
Original name How nice are free completions of categories?
Authors ADÁMEK, Jiří (203 Czech Republic) and Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution).
Edition Topology and its Applications, Amsterdam, Elsevier, 2020, 0166-8641.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.617
RIV identification code RIV/00216224:14310/20:00114068
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.topol.2019.106972
UT WoS 000521514200015
Keywords in English completions of categories; cartesian closed categories; toposes
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Jiří Rosický, DrSc., učo 2634. Changed: 20/1/2021 13:39.
Abstract
Every category has a free completion under colimits and a free completion under coproducts. A number of properties of the category transfer to its completions. We discuss when these completions are cartesian closed, pretoposes, or toposes.
Links
GAP201/11/0528, research and development projectName: Modelové kategorie
Investor: Czech Science Foundation
GA19-00902S, research and development projectName: Injektivita a monády v algebře a topologii
Investor: Czech Science Foundation
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