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

2025/12/10 by Fujita, Masato
#54F45 #FOS: Mathematics #Logic (math.LO) #Primary 03C64 #Secondary 05C45

paper · doi:10.48550/arxiv.2512.10158

Abstract

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.

Citations

• Cardinality of the sets of dimension functions in ordered structures

Related

• Cardinality of the sets of dimension functions in ordered structures
• Topological cell decomposition and dimension theory in P-minimal fields
• Open cell property in weakly o-minimal structures
• Sharply o-minimal structures and sharp cellular decomposition
• Uniform local definable cell decomposition for locally o-minimal expansion of the group of reals