2013/12/16 by Abou-Jaoude Saab, Saab, Abou-Jaoude
Mathematics · #52B05 #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:52B05
paper · pdf · doi:10.48550/arxiv.1312.4306
in French, Exposé au séeminaire de logique catégorique, université Paris-Diderot Paris 20/03/2013
arxiv created 2013/12/25 · arxiv updated 2013/12/30
The aim of this work is to prove that the connected parts of Farey complex structure in plane are triangles or quadrangles. To do this work we go back to plane convex polygones with oriented edge for wich we prove that if two consecutive vectors of the edge never are in the same quadrant, then the polygone is a triangle or a quadrangle. Then we prove that the connected parts of Farey complex have this property.