How many sprays cover space?
Abstract
For all d ≥ 3 we show that the cardinality of ޒ is at most ℵ n if and only if ޒ d can be covered with (n + 1)(d -1) + 1 sprays whose centers are in general position in a hyperplane.This extends previous results by Schmerl when d = 2.
Fields of Study & Subjects
Plant Surface Properties and Treatments
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 341
- Issue
- 1
- Pages
- 1–32
- Publication date
- 10 March 2026
- Language
- EN