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- W3077576190 abstract "A real algebraic variety W of dimension m is said to be uniformly rational if each of its points has a Zariski open neighborhood which is biregularly isomorphic to a Zariski open subset of Rm. Let l be any nonnegative integer. We prove that every map of class Cl from a compact subset of a real algebraic variety into a uniformly rational real algebraic variety can be approximated in the Cl topology by piecewise-regular maps of class Ck, where k is an arbitrary integer satisfying k≥l. Next we derive consequences regarding algebraization of topological vector bundles." @default.
- W3077576190 created "2020-08-24" @default.
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- W3077576190 date "2020-12-01" @default.
- W3077576190 modified "2023-09-23" @default.
- W3077576190 title "Approximation by piecewise-regular maps" @default.
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- W3077576190 doi "https://doi.org/10.1016/j.aim.2020.107350" @default.
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