Categoricity and closure of amalgamation bases under unions
Categoricity and closure of amalgamation bases under unions
Let be an abstract elementary class, let be its Hanf number, and let be its Löwenheim–Skolem number. For a cardinal , let be the class of amalgamation bases in of cardinality . Closure conjecture for amalgamation bases. If there exists a such that is categorical in , then is closed under unions of length for all with . This is presented as a weakening of Grossberg's Intermediate Categoricity Conjecture; the source does not give a resolution.
Sources & referencesView supporting material
Primary source
Monica VanDieren, “Categoricity in Abstract Elementary Classes with No Maximal Models”, arXiv:math/0510579 (2005).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.