Abstract
We show that for a model complete strongly minimal theory whose pregeometry is flat, the recursive spectrum (SRM(T)) is either of the form [0, α) for α ∈ ω + 2 or [0, n] ∪ {ω} for n ∈ ω, or {ω}, or contained in {0, 1, 2}. Combined with previous results, this leaves precisely 4 sets for which it is not yet determined whether each is the spectrum of a model complete strongly minimal theory with a flat pregeometry.
Original language | English |
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Pages (from-to) | 381-395 |
Number of pages | 15 |
Journal | Proceedings of the American Mathematical Society |
Volume | 150 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2022 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics