Non-trivial expansions of 1-transitive ordered theories
DOI:
https://doi.org/10.70474/kr0e1035Keywords:
1-transitivity, convexity rank, expansion of a theory, ordered theory, rank for family of theories, Weak o-minimalityAbstract
Here we study non-trivial expansions of 1-transitive ordered theories preserving 1-transitivity. In particular, expansions of weakly o-minimal linear orderings by equivalence relations, unary functions and arbitrary binary relations were investigated. On the base of the obtained results values of ranks for various families of weakly o-minimal theories were found.
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