|
|
|
|
|
Relative width
measures and the plank problem
Richard John Gardner |
|
Vol. 135 (1988), No. 2, 299–312
|
Abstract |
|
A relative width measure in a convex body K in R′′ for a set 6 of directions is a Borel probability measure in K such that the measure of the intersection of K with each slab orthogonal to a direction in 6 is equal to the relative width of the slab. Such measures are studied in connection with the unsolved plank problem of Th. Bang. |
Mathematical Subject Classification 2000
Primary: 52A40
Secondary: 52A45
|
Milestones
Received: 8 June 1987
Revised: 25 October 1987
Published: 1 December 1988
|
Authors |
| Richard John Gardner | |
|
