A mass partition problem in R4

Authors

  • Aleksandra S. Dimitrijević Blagojević Mathematical Institute SANU, Belgrade, Serbia Author

Keywords:

Partition of measures, Fadell-Husseini index theory

Subjects:

52A37, 55N91, 55M35

Abstract

The paper considers the existence of the maximal possible hyperplanepartition of a continuous probability Borel measure in R4. Theemphases is on the use of the equivariant ideal valued index theory ofFadell and Husseini. The presented result is the tightest positive solutionto one of the oldest and most relentless partition problems posed by B. Grünbaum~[12].

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Published

2009-01-15

Issue

Vol. 61 No. 1 (2009): Vol. 61, Issue 1

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.