Internal sizes in mu-abstract elementary classes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107382" target="_blank" >RIV/00216224:14310/19:00107382 - isvavai.cz</a>
Result on the web
<a href="http://people.math.harvard.edu/~sebv/papers/lrv-sizes/lrv-sizes_v4.pdf" target="_blank" >http://people.math.harvard.edu/~sebv/papers/lrv-sizes/lrv-sizes_v4.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2019.02.004" target="_blank" >10.1016/j.jpaa.2019.02.004</a>

Result language
angličtina
Original language name
Internal sizes in mu-abstract elementary classes
Original language description
Working in the context of $mu$-abstract elementary classes or, equivalently, accessible categories with all morphisms monomorphisms, we examine the two natural notions of size that occur, namely cardinality of underlying sets and internal size. The latter, purely category-theoretic, notion generalizes e.g. density character in complete metric spaces and cardinality of orthogonal bases in Hilbert spaces. We consider the relationship between these notions under mild set-theoretic hypotheses, including weakenings of the singular cardinal hypothesis.
Czech name
—
Czech description
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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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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