Linearly ordered theories which are nearly countably categorical


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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.

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B. Kulpeshov

International Information Technology University; Institute ofMathematics and Mathematical Modeling

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Email: b.kulpeshov@iitu.kz
哈萨克斯坦, Almaty; Almaty

S. Sudoplatov

Institute ofMathematics and Mathematical Modeling; Sobolev Institute of Mathematics; Novosibirsk State Technical University; Novosibirsk State University

Email: b.kulpeshov@iitu.kz
哈萨克斯坦, Almaty; Novosibirsk; Novosibirsk; Novosibirsk

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