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RECONSTRUCTION OF NON-$\aleph _0$-CATEGORICAL THEORIES

Part of: Model theory

Published online by Cambridge University Press:  13 September 2021

ITAÏ BEN YAACOV
ITAÏ BEN YAACOV*
Affiliation:
INSTITUT CAMILLE JORDAN, CNRS UMR 5208 UNIVERSITÉ CLAUDE BERNARD—LYON 1 43 BOULEVARD DU 11 NOVEMBRE 1918 VILLEURBANNE CEDEX 69622, FRANCEURL:http://math.univ-lyon1.fr/~begnac/
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Abstract

We generalise the correspondence between $\aleph _0$ -categorical theories and their automorphism groups to arbitrary complete theories in classical logic, and to some theories (including, in particular, all $\aleph _0$ -categorical ones) in continuous logic.

Keywords

complete theorygroupoidreconstruction

MSC classification

Primary: 03C15: Denumerable structures
Secondary: 03C95: Abstract model theory 03C30: Other model constructions
Type
Article
Information
The Journal of Symbolic Logic , Volume 87 , Issue 1 , March 2022 , pp. 159 - 187
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Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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