Universality of Categories of Coalgebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10102985" target="_blank" >RIV/00216208:11320/11:10102985 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10485-010-9232-1" target="_blank" >http://dx.doi.org/10.1007/s10485-010-9232-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10485-010-9232-1" target="_blank" >10.1007/s10485-010-9232-1</a>
Alternative languages
Result language
angličtina
Original language name
Universality of Categories of Coalgebras
Original language description
Under GCH, a set functor F does not preserve finite unions of non-empty sets if and only if the category Coalg F of all F-coalgebras is universal. Independently of GCH, we show that for any non-accessible functor F preserving intersections, the categoryCoalg F has a large discrete full subcategory, and we give an example of a category of F-coalgebras that is not universal, yet has a large discrete full subcategory.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/1M0545" target="_blank" >1M0545: Institute for Theoretical Computer Science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Categorical Structures
ISSN
0927-2852
e-ISSN
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Volume of the periodical
19
Issue of the periodical within the volume
6
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
19
Pages from-to
939-957
UT code for WoS article
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EID of the result in the Scopus database
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