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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
