TOPOLOGY OF THE GRÜNBAUM–HADWIGER–RAMOS HYPERPLANE MASS PARTITION PROBLEM

In 1960 Grünbaum asked whether for any finite mass in Rd there are d hyperplanes that cut it into 2d equal parts. This was proved by Hadwiger (1966) for d ≤ 3, but disproved by Avis (1984) for d ≥ 5, while the case d = 4 remained open. More generally, Ramos (1996) asked for the smallest dimension Δ(...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2018-10, Vol.370 (10), p.6795-6824
Hauptverfasser:	BLAGOJEVIĆ, PAVLE V. M., FRICK, FLORIAN, HAASE, ALBERT, ZIEGLER, GÜNTER M.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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