<p>katia11,</p>
<p>You probably won’t see the Cantor set used to its full extent (one of the most beautiful things about the Cantor set is that although it is uncountable, it is a null set) at Chicago because physics majors (usually) don’t take honors analysis (or any other class that introduces measure theory). If you want to see this stuff, though, of course it is possible. </p>
<p>tu160m,</p>
<p>most high school teachers don’t publish, so they may not have any idea what they are talking about. then again, you may not have any idea what you are talking about: overreaching (and building up your “paper”) may end up biting you in the arse. That said, the best of luck to you.</p>