Definable continuous solutions of linear equations

DOI10.1215/00294527-2021-0019OpenAlexW3166083138MaRDI QIDQ1982019

Saronsad Sokantika, Athipat Thamrongthanyalak

Publication date: 7 September 2021

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00294527-2021-0019

zbMATH Keywords

selectionslinear functional equationsdefinable completenessaffine bundles

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Model theory of ordered structures; o-minimality (03C64)

Cites Work

• Unnamed Item
• Continuous selections. I
• Continuous selections. II
• Whitney's extension problem for \(C^m\)
• Whitney's extension problem in o-minimal structures
• Michael's selection theorem for a mapping definable in an o-minimal structure defined on a set of dimesion 1
• Definable versions of theorems by Kirszbraun and Helly
• Expansions of dense linear orders with the intermediate value property
• Definable continuous selections of set-valued maps in o-minimal expansions of the real field
• Michael’s Selection Theorem in d-minimal expansions of the real field
• Continuous Solutions of Linear Equations

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