If a theory is categorical in one nonzero arithmetic degree then it is categorical in all nonzero arithmetic degrees, and this is equivalent to uncountable categoricity.
Machado, Minimal doubling for small subsets in compact Lie groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.LO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Categoricity without Power
If a theory is categorical in one nonzero arithmetic degree then it is categorical in all nonzero arithmetic degrees, and this is equivalent to uncountable categoricity.