Abstract
We prove that every closed, nowhere dense semialgebraic subset of Rn of dimension k can be approximated with respect to the Hausdorff metric by Nash closed submanifolds; i.e. smooth semialgebraic closed submanifolds of Rn of the same dimension k. Moreover approximating Nash submanifolds can be provided by some semialgebraic family.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.