The surjectivity and the continuity of definable functions in some definably complete locally o-minimal expansions and the Grothendieck ring of almost o-minimal structures

DOI10.21857/y26keclz69OpenAlexW4387831193MaRDI QIDQ6065713

Mourad Berraho

Publication date: 15 November 2023

Published in: Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21857/y26keclz69

zbMATH Keywords

Grothendieck ringscoordinate projectiondefinably complete locally o-minimal expansion of a densely linearly ordered abelian group

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64)

Cites Work

• Unnamed Item
• Almost o-minimal structures and \(\mathfrak{X}\)-structures
• Grothendieck rings of o-minimal expansions of ordered Abelian groups
• Grothendieck Rings of ℤ-Valued Fields
• A FUNDAMENTAL DICHOTOMY FOR DEFINABLY COMPLETE EXPANSIONS OF ORDERED FIELDS
• Notes on local o-minimality
• Expansions of dense linear orders with the intermediate value property
• Combinatorics with Definable Sets: Euler Characteristics and Grothendieck Rings
• DIMENSION INEQUALITY FOR A DEFINABLY COMPLETE UNIFORMLY LOCALLY O-MINIMAL STRUCTURE OF THE SECOND KIND
• LOCALLY O-MINIMAL STRUCTURES WITH TAME TOPOLOGICAL PROPERTIES
• Tameness of definably complete locally o‐minimal structures and definable bounded multiplication

This page was built for publication: The surjectivity and the continuity of definable functions in some definably complete locally o-minimal expansions and the Grothendieck ring of almost o-minimal structures