On colimits and elementary embeddings. (English) Zbl 1275.03144
The paper uses set-theoretical arguments involving elementary embeddings to give new proofs of known results about colimits in categories of structures. This new approach makes it possible to improve some of these results by giving sharper estimates of the involved set-theoretical complexity. More applications may appear in the future.
Reviewer: Jiří Rosický (Brno)
MSC:
| 03E55 | Large cardinals |
| 18A30 | Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) |
| 18C35 | Accessible and locally presentable categories |
Keywords:
directed colimit; elementary embedding; strongly compact cardinal; Vopenka’s principle; accessible categoryReferences:
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