FROM CONTINUOUS RATIONAL TO REGULOUS FUNCTIONS

DOI10.1142/9789813272880_0075zbMath1441.14191OpenAlexW2969335780MaRDI QIDQ5122050

Krzysztof Kurdyka, Wojciech Kucharz

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789813272880_0075

zbMATH Keywords

real algebraic setapproximationrational functionvector bundlesemialgebraic setregular functionregulous functionarc-analytic functionarc-symmetric set

Mathematics Subject Classification ID

Real algebraic sets (14P05) Semialgebraic sets and related spaces (14P10) Topology of vector bundles and fiber bundles (57R22) Real-analytic and Nash manifolds (58A07) Real rational functions (26C15) Arcs and motivic integration (14E18)

Related Items (12)

On approximation of maps into real algebraic homogeneous spaces ⋮ Some open questions in real algebraic geometry ⋮ Hartogs-type theorems in real algebraic geometry. I ⋮ Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions ⋮ Approximation and homotopy in regulous geometry ⋮ A notion of seminormalization for real algebraic varieties ⋮ Approximation by piecewise-regular maps ⋮ On linear equations with polynomial coefficients ⋮ Algebraic varieties are homeomorphic to varieties defined over number fields ⋮ Separately Nash and arc‐Nash functions over real closed fields ⋮ Integral closures in real algebraic geometry ⋮ Arc-meromorphous functions

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