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Results tagged with accessible-categories
Search options answers only
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user 49
7
votes
Accepted
About the Yoneda objects of a locally presentable category
The usual name for "Yoneda objects" is "tiny" or "small-projective".
In general the tiny objects in a presheaf category are the retracts of representables. In particular, if $A$ is Cauchy-complete, …
- 66.8k
9
votes
Accepted
Example of non accessible model categories
I don't know whether set-theoretic hypotheses are necessary to answer this question. But if we assume the negation of Vopěnka's principle, here is an example: by Example 6.12 of Adamek-Rosicky Locall …
- 66.8k
37
votes
Accepted
Reasons to believe Vopenka's principle/huge cardinals are consistent
Most of the arguments previously presented take a set-theoretic/logical point of view and apply to large cardinal axioms in general. There's a lot of good stuff there, but I think there are additiona …
- 66.8k