Dimension functions in weakly o-minimal structures admitting strong cell decomposition

We investigate the cardinality $\mathfrak n_{\dim}(\mathcal M)$ of the sets of dimension functions on weakly o-minimal structures $\mathcal M$ admitting strong cell decomposition.

💡 Research Summary

The paper investigates the cardinality 𝔫_dim(𝔐) of the set DIM(𝔐) of all dimension functions on a weakly o‑minimal structure 𝔐 that admits a strong cell decomposition. The author builds on earlier work concerning o‑minimal structures (see