Counting siblings in universal theories

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Braunfeld, S., & Laskowski, M. C. (2022). Counting siblings in universal theories.�The Journal of Symbolic Logic,�87(3), 1130�1155. doi:10.1017/jsl.2022.3

Abstract

Abstract We show that if a countable structure M in a finite relational language is not cellular, then there is an age-preserving N _ M such that 2_0 many structures are bi-embeddable with N . The proof proceeds by a case division based on mutual algebraicity.

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Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/