Introduces abstract elementary team categories generalizing abstract elementary classes, proves FOT satisfies a Lindström theorem version, and establishes downwards and upwards categoricity transfers for complete theories in existential second-order logic.
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On the Model Theory of Second-Order Objects
Introduces abstract elementary team categories generalizing abstract elementary classes, proves FOT satisfies a Lindström theorem version, and establishes downwards and upwards categoricity transfers for complete theories in existential second-order logic.