A colorful theorem on transversal lines to plane convex sets
Por:
Arocha, JL, Bracho, J, Montejano, L
Publicada:
1 ene 2008
Resumen:
We prove a colorful version of Hadwiger's transversal line theorem; if a family of colored and numbered convex sets in the plane has the property that any three differently colored membres have a transversal line that meet the sets consistently with the numbering, then there exists a color such that all the convex sets of that color have a transversal line.
Filiaciones:
Arocha, JL:
Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
Bracho, J:
Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
Montejano, L:
Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
|