Contest problem
There exist functions with Darboux property, such that there exist sets with and .
Problem proposed in the “Traian Lalescu” contest for undergraduate students in Romania in 2004.
This problem can be solved using some ideas from Sierpinski’s Theorem. The proof can be found here.
Advertisements
Categories: Analysis, Olympiad, Undergraduate
darboux
Comments (0)
Trackbacks (2)
Leave a comment
Trackback

February 10, 2012 at 11:58 amThere isn’t such a function « Problems – Beni Bogoşel

June 3, 2012 at 1:02 pmProblems – Beni Bogoşel