No Maximal Models from Looking Down
classification
🧮 math.LO
keywords
cardinalsmodelsamalgamationarbitraryassumecardinalityclasscondition
read the original abstract
In [Sh893], Shelah proves that (on a stationary set of cardinals) an AEC has not too many models or every model has extensions of arbitrary cardinality. We show that, if we assume limited amalgamation, then the second condition holds for a larger class of cardinals.
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