Detail publikace
A CATEGORY-THEORETIC CHARACTERIZATION OF ALMOST MEASURABLE CARDINALS
LIEBERMAN, M.
Anglický název
A CATEGORY-THEORETIC CHARACTERIZATION OF ALMOST MEASURABLE CARDINALS
Typ
Článek WoS
Jazyk
en
Originální abstrakt
Through careful analysis of an argument of [Proc. Amer. Math. Soc. 145 (2017), pp. 1317-1327], we show that the powerful image of any accessible functor is closed under colimits of kappa-chains, kappa a sufficiently large almost measurable cardinal. This condition on powerful images, by methods resembling those of [J. Symb. Log. 81 (2016), pp. 151-165], implies kappa-locality of Galois-types. As this, in turn, implies sufficient measurability of kappa, via [Proc. Amer. Math. Soc. 145 (2017), pp. 4517-4532], we obtain an equivalence: a purely category-theoretic characterization of almost measurable cardinals.
Klíčová slova anglicky
Almost measurable cardinals, accessible categories, abstract elementary classes, Galois types, locality
Vydáno
2020-06-01
Nakladatel
American Mathematical Society
Místo
Providence, Rhode Island, USA
ISSN
1088-6826
Ročník
148
Číslo
9
Strany od–do
4065–4077
Počet stran
13
BIBTEX
@article{BUT164488,
author="Michael Joseph {Lieberman}",
title="A CATEGORY-THEORETIC CHARACTERIZATION OF ALMOST MEASURABLE CARDINALS",
journal="PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY",
year="2020",
volume="148",
number="9",
pages="4065--4077",
doi="10.1090/proc/15076",
issn="0002-9939",
url="https://www.ams.org/journals/proc/2020-148-09/S0002-9939-2020-15076-9/"
}