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Article · Mathematical Notes · March 1, 2017
Linearly ordered theories which are nearly countably categorical
B. Sh. Kulpeshov, Sergey Vladimirovich Sudoplatov
Abstract
The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.
Advanced Topology and Set TheoryRings, Modules, and AlgebrasLimits and Structures in Graph Theorydense linear orderso-minimal theoriesmodel theory of ordered structures
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