A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. Kakeya set conjecture asserts that every Kakeya set has Minkowski and Hausdorff dimension n. We prove this conjecture in R^3 as a consequence of a more general statement about union of tubes.
This is joint work with Josh Zahl.
Kakeya sets in R^3
06.05.2026 15:30 - 16:30
Organiser:
L. Erdös & U. Wagner
Location:
Raiffeisen Lecture Hall, Central Building
Related Files
- Kakeya.pdf 306 KB