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- W2952254621 abstract "We extend and improve the result of Makkai and Pare that the powerful image of any accessible functor F is accessible, assuming there exists a sufficiently large strongly compact cardinal. We reduce the required large cardinal assumption to the existence of $L_{mu,omega}$-compact cardinals for sufficiently large {mu}, and also show that under this assumption the {lambda}-pure powerful image of F is accessible. From the first of these statements, we obtain that the tameness of every Abstract Elementary Class follows from a weaker large cardinal assumption than was previously known. We provide two ways of employing the large cardinal assumption to prove each result - one by a direct ultraproduct construction and one using the machinery of elementary embeddings of the set-theoretic universe." @default.
- W2952254621 created "2019-06-27" @default.
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- W2952254621 date "2015-06-05" @default.
- W2952254621 modified "2023-10-17" @default.
- W2952254621 title "Accessible images revisited" @default.
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