A note on hanf numbers

Saharon Shelah

doi:10.2140/pjm.1970.34.541

A note on hanf numbers

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that for every (formula presented), there is a theory T and set of types P in a language of power κ, such that there is a model of T which omits every pλP of power κ if and only if (formula presented). We also disprove a conjecture of Morley on the existence of algebraic elements.

Original language	English
Pages (from-to)	541-545
Number of pages	5
Journal	Pacific Journal of Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1970.34.541
State	Published - Aug 1970

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10.2140/pjm.1970.34.541

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A note on hanf numbers

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