| A mass partition problem in $\Bbb R^4$ |
| Aleksandra S. Dimitrijević Blagojević |
Abstract The paper considers the existence of the maximal possible hyperplane partition of a continuous probability Borel measure in $\Bbb{R}^{4}$. The emphases is on the use of the equivariant ideal valued index theory of Fadell and Husseini. The presented result is the tightest positive solution to one of the oldest and most relentless partition problems posed by B. Grünbaum~[12].
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Keywords: Partition of measures; Fadell-Husseini index theory. |
MSC: 52A37, 55N91, 55M35 |
Pages: 63$-$71 |
Volume 61 , Issue 1 , 2009 |
