Masato Fujita

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20232025

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math.LO2025

Cardinality of the sets of dimension functions in ordered structures

Masato Fujita

We compute the cardinality $n_{d i m} (M)$ of the sets of dimension functions on the ordered structures $M$ . The inequality $\mathfrak n_{\dim}(\mathcal M…

math.LO2025

Nonvaluational ordered Abelian groups of finite burden

Masato Fujita

Consider an expansion $R = (R, <, +, \dots)$ of an ordered divisible Abelian group of finite burden defining no nonempty subset $X$ of $R$ which is dense and codense in a defi…