Hanf Numbers and Presentation Theorems in AEC
نویسندگان
چکیده
Grossberg [Gro02, Conjecture 9.3] has raised the question of the existence of Hanf numbers for joint embedding and amalgamation in Abstract Elementary Classes (AEC). Various authors have given lower bounds (discussed in Section 5), usually for the disjoint version of these properties. Here we show a strongly compact cardinal κ is an upper bound for various such Hanf numbers. We define 4 kinds amalgamation properties(with various cardinal parameters) in the next section and a 5th at the end of Section 3.
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