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research article
Homogeneous selections from hyperplanes
Given d + 1 hyperplanes h(1),..., h(d+1) in general position in R-d, let Delta(h(1),..., h(d+1)) denote the unique bounded simplex enclosed by them. There exists a constant c(d) > 0 such that for any finite families H-1,..., Hd+1 of hyperplanes in R-d, there are subfamilies H-i* subset of H-i with vertical bar H-ivertical bar >= c(d)vertical bar H-i vertical bar and a point p is an element of R-d with the property that p is an element of Delta(h(1),..., h(d+1)) for all h(i) is an element of H-i. (C) 2013 Elsevier Inc. All rights reserved.
Use this identifier to reference this record
Type
research article
Web of Science ID
WOS:000328235500005
Authors
Publication date
2014
Publisher
Published in
Volume
104
Start page
81
End page
87
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
January 9, 2014