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单词 kappacategorical
释义

κ-categorical


Let L be a first order language and let S be a set of L-sentencesMathworldPlanetmath. If κ is a cardinal, then S is said to be if S has a model of cardinality κ and any two such models are isomorphicPlanetmathPlanetmathPlanetmath.

In other words, S is categorical iff it has a unique model of cardinality κ, to within isomorphismMathworldPlanetmathPlanetmathPlanetmathPlanetmath.

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更新时间:2025/5/4 23:04:40