BOURKE, John Denis. Two-dimensional monadicity. Advances in Mathematics. Academic Press, 2014, vol. 252, February, p. 708-747. ISSN 0001-8708. doi:10.1016/j.aim.2013.11.007.
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Basic information
Original name Two-dimensional monadicity
Authors BOURKE, John Denis (372 Ireland, guarantor, belonging to the institution).
Edition Advances in Mathematics, Academic Press, 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/00216224:14310/14:00073521
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.aim.2013.11.007
UT WoS 000330153100026
Keywords in English 2-category 2-monad F-category Weak morphism Monadicity
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 11. 4. 2015 20:37.
Abstract
The behaviour of limits of weak morphisms in 2-dimensional universal algebra is not 2-categorical in that, to fully express the behaviour that occurs, one needs to be able to quantify over strict morphisms amongst the weaker kinds. F-categories were introduced to express this interplay between strict and weak morphisms. We express doctrinal adjunction as an F-categorical lifting property and use this to give monadicity theorems, expressed using the language of F-categories, that cover each weaker kind of morphism.
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GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
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