Infinitary Jónsson functions and elementary embeddings

Archive for Mathematical Logic 33 (2):81-86 (1994)
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Abstract

We give an extender characterization of a very strong elementary embedding between transitive models of set theory, whose existence is known as the axiom I2. As an application, we show that the positive solution of a partition problem raised by Magidor would refute it

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10.1007/bf01352930

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Citations of this work

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Jonsson-like partition relations and j: V → V.Arthur W. Apter & Grigor Sargsyan - 2004 - Journal of Symbolic Logic 69 (4):1267-1281.

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References found in this work

Strong axioms of infinity and elementary embeddings.Robert M. Solovay - 1978 - Annals of Mathematical Logic 13 (1):73.
Elementary embeddings and infinitary combinatorics.Kenneth Kunen - 1971 - Journal of Symbolic Logic 36 (3):407-413.

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