É. Czabarka, É. Czabarka, Inne Singgih, L. Székely, L. Székely, Zhiyu Wang
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We verify an upper bound of Pach and Tóth from 1997 on the midrange crossing constant. Details of their upper bound have not been available. Our verification is different from their method and hinges on a result of Moon from 1965. As Moon’s result is optimal, we raise the question whether the midrange crossing constant is .
期刊介绍:
The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.