Results 1 to 2 of 2

Math Help - Connectedness

  1. #1
    Junior Member
    Joined
    Aug 2009
    Posts
    62

    Connectedness

    If X is an infinite set ,then X is connected in finite complement topology[t={U subset of X such that X-U is either finite of is all of X} ].
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Focus's Avatar
    Joined
    Aug 2009
    Posts
    228
    Quote Originally Posted by math.dj View Post
    If X is an infinite set ,then X is connected in finite complement topology[t={U subset of X such that X-U is either finite of is all of X} ].
    Can you think why? If I have an open proper subset U, then X\U is finite and thus not open.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Path connectedness and connectedness
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 19th 2011, 10:16 PM
  2. connectedness
    Posted in the Differential Geometry Forum
    Replies: 10
    Last Post: April 25th 2010, 08:06 PM
  3. Connectedness
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 15th 2010, 10:06 AM
  4. Connectedness
    Posted in the Differential Geometry Forum
    Replies: 8
    Last Post: May 6th 2009, 05:40 AM
  5. connectedness
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: April 29th 2009, 05:59 PM

Search Tags


/mathhelpforum @mathhelpforum