1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Topology: is this a convex set?

  1. Sep 10, 2010 #1
    1. The problem statement, all variables and given/known data
    Hi there, I have a set similar to this [tex]\{(x,y)\in{\mathbb{R}^2}:x^2+y^2\neq{k^2},k\in{\mathbb{Z}\}[/tex] (its the same kind, but with elipses).

    And I don't know if it is convex or not. If I make the "line proof", then I should say no. What you say?

    Bye there, and thanks.
     
  2. jcsd
  3. Sep 10, 2010 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    It's the x-y plane with circles (or ellipses) removed, isn't it? I'd agree and say no, not convex. Are you supposed to prove this? Can you? Or is it just an opinion question?
     
    Last edited: Sep 10, 2010
  4. Sep 11, 2010 #3
    Just an opinion question. Thanks Dick.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Topology: is this a convex set?
  1. Convexity of a set (Replies: 0)

  2. Is this a convex set? (Replies: 2)

Loading...