MAKKAI, Mihály, Jiří ROSICKÝ and Lukáš VOKŘÍNEK. On a fat small object argument. Advances in Mathematics. Amsterdam: Elsevier, 2014, vol. 254, MARCH, p. 49-68. ISSN 0001-8708. Available from: https://dx.doi.org/10.1016/j.aim.2013.12.012.
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Basic information
Original name On a fat small object argument
Name in Czech O tlustém argumentu malých objektů
Authors MAKKAI, Mihály (348 Hungary, belonging to the institution), Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution) and Lukáš VOKŘÍNEK (203 Czech Republic, belonging to the institution).
Edition Advances in Mathematics, Amsterdam, Elsevier, 2014, 0001-8708.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 1.294
RIV identification code RIV/00216224:14310/14:00073454
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.aim.2013.12.012
UT WoS 000331499900005
Keywords (in Czech) dobrá kolimita; kofibrantní generování; argument malých objektů
Keywords in English good colimit; cofibrant generation; small object argument
Tags AKR, rivok
Changed by Changed by: prof. RNDr. Jiří Rosický, DrSc., učo 2634. Changed: 13/3/2018 18:37.
Abstract
Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We will explore the relation of good colimits to transfinite composites further and show, in particular, how they eliminate the use of large objects in the usual small object argument.
Abstract (in Czech)
Dobré kolimity zavedené J. Luriem zobecňují transfinitní kompozice a poskytují důležitý nástroj pro pochopení kofibrantní generovanosti v lokálně prezentovatelných kategoriích. Je podrobněji zkoumán vztah dobrých kolimit a transfinitních kompozic a je ukázáno, jak eliminovat použití velkých objektů v obvyklém argumentu malých objektů.
Links
GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
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