Abstract
AssTRAcr. Let 6f be a finite family of at least n + 1 convex sets in the n-dimensional Eucidean space Rn. Helly's theorem asserts that if all the (n + l)-subfamilies of IF have nonempty intersection, then f also has nonempty intersection. The main result in this paper is that if almost all of the (n + l)-subfamilies of Ti have nonempty intersection, then fS has a subfamily with nonempty intersection containing almost all of the sets in T.
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.
