KZ-PSEUDOMONADS AND KAN INJECTIVITY Dedicated to the memory of Marta Bunge (1938-2022)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00137978" target="_blank" >RIV/00216224:14310/24:00137978 - isvavai.cz</a>
Result on the web
<a href="http://www.tac.mta.ca/tac//volumes/40/16/40-16.pdf" target="_blank" >http://www.tac.mta.ca/tac//volumes/40/16/40-16.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
KZ-PSEUDOMONADS AND KAN INJECTIVITY Dedicated to the memory of Marta Bunge (1938-2022)
Original language description
We introduce the notion of Kan injectivity in 2-categories and study its properties. For an adequate 2-category K, we show that every set of morphisms H induces a KZ-pseudomonad on K whose 2-category of pseudoalgebras is the locally full sub-2-category of all objects (left) Kan injective with respect to H and morphisms preserving Kan extensions. The main ingredient is the construction of a (pseudo)chain whose appropriate “convergence” is ensured by a small object argument.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theory and Applications of Categories
ISSN
1201-561X
e-ISSN
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Volume of the periodical
40
Issue of the periodical within the volume
16
Country of publishing house
CA - CANADA
Number of pages
49
Pages from-to
430-478
UT code for WoS article
001340513200016
EID of the result in the Scopus database
2-s2.0-85198715554