Definable continuous selections of set-valued maps in o-minimal expansions of the real field

DOI10.4064/ba8130-10-2017zbMath1420.03083OpenAlexW2767794935MaRDI QIDQ4595464

Saronsad Sokantika, Athipat Thamrongthanyalak

Publication date: 30 November 2017

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8130-10-2017

zbMATH Keywords

selectionso-minimal structures

Mathematics Subject Classification ID

Set-valued functions (26E25) Selections in general topology (54C65) Continuity and differentiation questions (26B05) Models of other mathematical theories (03C65) Applications of model theory (03C98) Model theory of ordered structures; o-minimality (03C64)

Related Items (5)

CONNECTEDNESS IN STRUCTURES ON THE REAL NUMBERS: O-MINIMALITY AND UNDECIDABILITY ⋮ On p‐adic semi‐algebraic continuous selections ⋮ MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION ⋮ Definable continuous solutions of linear equations ⋮ On linear equations with polynomial coefficients

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