Counting Siblings in Universal Theories

Thumbnail Image
Files
Braunfield & Laskowski(427.69 KB)
No. of downloads: 0
Publication or External Link
https://doi.org/10.1017/jsl.2022.3
Date
2022-01-10
Authors
Braunfield, Samuel
Laskowski, Michael C.
Advisor
Citation
BRAUNFELD, S., & LASKOWSKI, M. (2022). COUNTING SIBLINGS IN UNIVERSAL THEORIES. The Journal of Symbolic Logic, 87(3), 1130-1155.
DRUM DOI
https://doi.org/10.13016/dspace/ugoj-kssp
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 2ℵ0 many structures are bi-embeddable with N. The proof proceeds by a case division based on mutual algebraicity.
Notes
URI (handle)
http://hdl.handle.net/1903/30521
Rights
Collections
Mathematics Research Works