Relative Pfaffian closure for definably complete Baire structures

zbMath1300.03019arXiv0803.3560MaRDI QIDQ351838

Tamara Servi, Antongiulio Fornasiero

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3560

zbMATH Keywords

topological complexityo-minimal structuredefinably complete structurePfaffian closureRolle leaf

Mathematics Subject Classification ID

Pfaffian systems (58A17) Model theory of ordered structures; o-minimality (03C64) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (4)

A Note on Hieronymi’s Theorem: Every Definably Complete Structure Is Definably Baire ⋮ Theorems of the Complement ⋮ PSEUDO-FINITE SETS, PSEUDO-O-MINIMALITY ⋮ Definably connected nonconnected sets

Cites Work

• Unnamed Item
• Geometric categories and o-minimal structures
• A theorem of the complement and some new o-minimal structures
• A generalization of Wilkie's theorem of the complement, and an application to Pfaffian closure
• Definably complete Baire structures
• Comparison theorems for o-minimal singular (co)homology
• The Pfaffian closure of an o-minimal structure
• Theorems of the Complement

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