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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… Click to show full 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.
Keywords:
nearly countably;
ordered theories;
linearly ordered;
countably categorical;
theories nearly
Journal Title: Mathematical Notes
Year Published: 2017
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Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!