The Mathematical Intelligencer

, Volume 40, Issue 2, pp 85–88 | Cite as

A Singular Mathematical Promenade by Étienne Ghys

ENS ÉDITIONS, LYON, 2017, VIII + 302 PP., 27.00 EUR, ISBN 978-2-84788-939-0
  • Sergei Tabachnikov
Book Reviews

Consider two graphs of real polynomials that pass through the origin. Intersect the graphs with a vertical line slightly to the left of the y-axis and then move the line to the right until it is slightly to the right of the y-axis. Follow the intersection points of the line with the graphs: you obtain a permutation of two points, either trivial or nontrivial.

It is obvious that both possibilities can be realized by choosing appropriate polynomials, for example, \(P_ 1(x)= 0\)



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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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