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Discrete & Computational Geometry

, Volume 43, Issue 2, pp 477–481 | Cite as

Equipartition of a Measure by (Z p ) k -Invariant Fans

  • R. N. Karasev
Article

Abstract

We prove a result about partitioning an absolutely continuous measure in ℝ d into 2d equal parts by a system of cones with common vertex, where d is an odd prime power. The proof is topological and based on the calculation of the equivariant Euler class of a certain vector bundle.

Keywords

Knaster’s problem Equivariant topology Inscribing Measure partition 

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Dept. of MathematicsDolgoprudnyRussia

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