Results 1 to 2 of 2

Math Help - Darboux Theorem

  1. #1
    Member
    Joined
    Feb 2009
    Posts
    103

    Darboux Theorem

    Prove that the set T = \{(x,y) \in I \times I : x<y\} is a connected subset of \Re^2 with the standard topology.
    Last edited by Amanda1990; February 26th 2009 at 12:42 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Feb 2009
    Posts
    11
    Just note that T is path connected (easy proof) and so connected.
    Last edited by HenryB; February 26th 2009 at 12:43 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integration by Darboux
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 12th 2011, 04:08 AM
  2. Darboux Sums
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 14th 2011, 03:48 PM
  3. another darboux question
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: February 2nd 2010, 12:29 PM
  4. Darboux Theroem
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: February 1st 2010, 06:32 AM
  5. Topology - Darboux Theorem
    Posted in the Differential Geometry Forum
    Replies: 10
    Last Post: February 26th 2009, 02:38 AM

Search Tags


/mathhelpforum @mathhelpforum