FROM CONTINUOUS RATIONAL TO REGULOUS FUNCTIONS - Archive ouverte HAL
Communication Dans Un Congrès Année : 2018

FROM CONTINUOUS RATIONAL TO REGULOUS FUNCTIONS

Résumé

Let X be an algebraic set in R n. Real-valued functions, defined on subsets of X, that are continuous and admit a rational representation have some remarkable properties and applications. We discuss recently obtained results on such functions, against the backdrop of previously developed theories of arc-symmetric sets, arc-analytic functions, approximation by regular maps, and algebraic vector bundles.
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Dates et versions

hal-03808800 , version 1 (10-10-2022)

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Krzysztof Kurdyka, Wojciech Kucharz. FROM CONTINUOUS RATIONAL TO REGULOUS FUNCTIONS. International Congres of Mathematicians, Aug 2018, Rio de Janeiro, Brazil. pp.719-747, ⟨10.1142/9789813272880_0075⟩. ⟨hal-03808800⟩
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