On equivalence relations second order definable over H(κ)

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On equivalence relations second order definable over H(κ)

Let κ be an uncountable regular cardinal. Call an equivalence relation on functions from κ into 2 second order definable over H(κ) if there exists a second order sentence φ and a parameter P ⊆ H(κ) such that functions f and g from κ into 2 are equivalent iff the structure 〈H(κ),∈, P, f, g〉 satisfies φ. The possible numbers of equivalence classes of second order definable equivalence relations c...

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ژورنال

عنوان ژورنال: Fundamenta Mathematicae

سال: 2002

ISSN: 0016-2736,1730-6329

DOI: 10.4064/fm174-1-1