Universal theories categorical in power and κ-generated models
نویسندگان
چکیده
منابع مشابه
Ja n 19 94 UNIVERSAL THEORIES CATEGORICAL IN POWER AND κ - GENERATED MODELS
We investigate a notion called uniqueness in power κ that is akin to categoricity in power κ, but is based on the cardinality of the generating sets of models instead of on the cardinality of their universes. The notion is quite useful for formulating categoricity-like questions regarding powers below the cardinality of a theory. We prove, for (uncountable) universal theories T , that if T is κ...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1994
ISSN: 0168-0072
DOI: 10.1016/0168-0072(94)90018-3