Results 1 to 2 of 2

Math Help - connected set

  1. #1
    Junior Member
    Joined
    Jan 2013
    From
    kolkata ( India)
    Posts
    27
    Thanks
    3

    connected set

    When is a finite subset of a metric space connected?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,966
    Thanks
    1785
    Awards
    1

    Re: connected set

    Quote Originally Posted by swarna View Post
    When is a finite subset of a metric space connected?
    Is it possible to express a finite set with more than one point as the union of two non-empty set neither containing a point nor a limit point of the other?

    If you understand the definition of connected, then that answers the question.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. What is a simply connected and 4-connected graph?
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: August 11th 2012, 11:18 AM
  2. Every path-connected metric space is connected
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 13th 2011, 07:31 AM
  3. The union of non-disjoint connected is connected
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: September 17th 2010, 04:06 AM
  4. Proof that union of two connected non disjoint sets is connected
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 27th 2009, 09:22 AM
  5. Replies: 1
    Last Post: April 18th 2008, 08:19 AM

Search Tags


/mathhelpforum @mathhelpforum