### Some articles on *categoricity*:

Rami Grossberg

... classes, and is part of the active effort to prove two of Saharon Shelah's outstanding

... classes, and is part of the active effort to prove two of Saharon Shelah's outstanding

**categoricity**conjectures Conjecture 1 ... (**Categoricity**for ) ... (**Categoricity**for AECs) See and ...Morley's

... immediately led to the more subtle notion of κ-

**Categoricity**Theorem - History and Motivation... immediately led to the more subtle notion of κ-

**categoricity**, which asks for which cardinals κ is there exactly one model of cardinality κ of the given theory T up ... in all the cases he could think of, κ-**categoricity**at any one uncountable cardinal implied κ-**categoricity**at all other uncountable cardinals ...Model Theory -

... But two famous model-theoretic theorems deal with the weaker notion of κ-

**Categoricity**... But two famous model-theoretic theorems deal with the weaker notion of κ-

**categoricity**for a cardinal κ ... It turns out that the question of κ-**categoricity**depends critically on whether κ is bigger than the cardinality of the language (i.e ... A few characterizations of -**categoricity**include For a complete first-order theory T in a finite or countable signature the following conditions are equivalent T is -catego ...Main Site Subjects

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