Colimit-dense subcategories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00521009" target="_blank" >RIV/67985840:_____/19:00521009 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/19:00108115 RIV/68407700:21230/19:00338237
Result on the web
<a href="http://dx.doi.org/10.14712/1213-7243.2019.021" target="_blank" >http://dx.doi.org/10.14712/1213-7243.2019.021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14712/1213-7243.2019.021" target="_blank" >10.14712/1213-7243.2019.021</a>

Result language
angličtina
Original language name
Colimit-dense subcategories
Original language description
Among cocomplete categories, the locally presentable ones can be defined as those with a strong generator consisting of presentable objects. Assuming Vopěnka's Principle, we prove that a cocomplete category is locally presentable if and only if it has a colimit-dense subcategory and a generator consisting of presentable objects. We further show that a 3-element set is colimit-dense in the category opposite to sets, and spaces of countable dimension are colimit-dense in the category opposite to vector spaces.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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