Categoricity of theories in Lκω , when κ is a measurable cardinal. Part 1

• Autorzy: Saharon Shelah , Oren Kolman
• Języki publikacji: EN

Abstrakty

EN

We assume a theory T in the logic $L_{κω}$ is categorical in a cardinal λ \≥ κ, and κ is a measurable cardinal. We prove that the class of models of T of cardinality < λ (but ≥ |T|+κ) has the amalgamation property; this is a step toward understanding the character of such classes of models.

Kategorie tematyczne

• 03C75: Other infinitary logic

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 151
• Numer: 3
• Strony: 209-240

Daty

wydano

1996

otrzymano

1994-02-02

poprawiono

1996-02-08

Twórcy

autor

Saharon Shelah

• Institute of Mathematics, Hebrew University, Jerusalem, Israel

autor

Oren Kolman

• Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, U.S.A.

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