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Preprint Number 1106
1106. Sebastien Vasey Shelah's eventual categoricity conjecture in universal classes.
Part II E-mail: sebv at cmu dot edu Submission date: Abstract: We prove that a universal class categorical in a high-enough
cardinal is categorical on a tail of cardinals. As opposed to other
results in the literature, we work in ZFC, do not require the
categoricity cardinal to be a successor, do not assume amalgamation, and
do not use large cardinals. Moreover we give an explicit bound on the
`high-enough' threshold: Mathematics Subject Classification: 03C48 (Primary), 03C45, 03C52, 03C55 (Secondary) Keywords and phrases: Abstract elementary classes; Universal classes; Categoricity; Independence; Classification theory; Smoothness; Tameness; Prime models |

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