Categoricity in א1 of sentences in {Mathematical expression}

Saharon Shelah

doi:10.1007/BF02757882

Categoricity in א₁ of sentences in {Mathematical expression}

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

42 Scopus citations

Abstract

We investigate the categoricity and number of non-isomorphic models in א₁ of sentences in {Mathematical expression}. Assuming V=L we prove that no sentence in {Mathematical expression} has exactly one uncountable model. Thus partially answering problem 24 of a problem list by Friedman.

Original language	English
Pages (from-to)	127-148
Number of pages	22
Journal	Israel Journal of Mathematics
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/BF02757882
State	Published - Jun 1975

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abstract = "We investigate the categoricity and number of non-isomorphic models in א1 of sentences in \{Mathematical expression\}. Assuming V=L we prove that no sentence in \{Mathematical expression\} has exactly one uncountable model. Thus partially answering problem 24 of a problem list by Friedman.",

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Categoricity in א₁ of sentences in {Mathematical expression}

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