TOPOLOGICAL CELL DECOMPOSITION AND DIMENSION THEORY IN P-MINIMAL FIELDS

DOI10.1017/jsl.2016.45zbMath1387.03034arXiv1508.07536OpenAlexW2963893971MaRDI QIDQ5738207

Pablo Cubides Kovacsics, Eva Leenknegt, Luck Darnière

Publication date: 1 June 2017

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07536

zbMATH Keywords

dimensioncell decomposition\(p\)-adically closed fields\(P\)-minimality

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) (p)-adic theory, local fields (11F85) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12) Valued fields (12J10) Formally (p)-adic fields (12J12)

Related Items (7)

Tame topology over definable uniform structures ⋮ Clustered cell decomposition in \(P\)-minimal structures ⋮ Model completion of scaled lattices and co‐Heyting algebras of p‐adic semi‐algebraic sets ⋮ Topologizing interpretable groups in \(p\)-adically closed fields ⋮ Interpolative fusions ⋮ A P-MINIMAL STRUCTURE WITHOUT DEFINABLE SKOLEM FUNCTIONS ⋮ Defining integer-valued functions in rings of continuous definable functions over a topological field

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