We study generalisations of the following fact: a generic compact curve in the plane intersects every straight line in a finite number of points; moreover, for each such curve, this number is bounded. Our results develop the first part of René Thom's 1968 paper on Géométrie finie ("finite geometry'').
Cite this article
Marc Chaperon, Daniel Meyer, On a theorem of René Thom in Géométrie Finie. Enseign. Math. 55 (2009), no. 3/4, pp. 329–357DOI 10.4171/LEM/55-3-6