A note on Makeev's conjectures
Metric Geometry
2016-01-19 v2 Combinatorics
Differential Geometry
Abstract
A counterexample is given for the Knaster-like conjecture of Makeev for functions on . Some particular cases of another conjecture of Makeev, on inscribing a quadrangle into a smooth simple closed curve, are solved positively.
Keywords
Cite
@article{arxiv.1002.4070,
title = {A note on Makeev's conjectures},
author = {R. N. Karasev},
journal= {arXiv preprint arXiv:1002.4070},
year = {2016}
}