Consider the following question:
Given a dense set in the plane, does there always exist a line segment in which this set is dense?
I have been puzzling over this for some time. Can someone help or give me some hints?
Consider the following question:
Given a dense set in the plane, does there always exist a line segment in which this set is dense?
I have been puzzling over this for some time. Can someone help or give me some hints?