Equipartition of a segment
Metric Geometry
2022-01-05 v4 Algebraic Topology
Combinatorics
Abstract
We prove that, for any positive integer , a segment may be partitioned into possibly degenerate or empty segments with equal values of a continuous function of a segment, assuming that may take positive and negative values, but its value on degenerate or empty segments is zero.
Keywords
Cite
@article{arxiv.2009.09862,
title = {Equipartition of a segment},
author = {Sergey Avvakumov and Roman Karasev},
journal= {arXiv preprint arXiv:2009.09862},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1804.03057