Results 1 to 3 of 3

Math Help - interior of set closure differnet from interior of the same set?

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    18

    interior of set closure differnet from interior of the same set?

    Can anyone give an example showing that the interior of S is not the same as the interior of the closure of S?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Aug 2009
    Posts
    80
    Quote Originally Posted by wxyj View Post
    Can anyone give an example showing that the interior of S is not the same as the interior of the closure of S?

    Thanks
    Let S be the rationals. Then Int(S) is empty, whereas Int(Cl(S)) = R.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2009
    Posts
    18
    Quote Originally Posted by rn443 View Post
    Let S be the rationals. Then Int(S) is empty, whereas Int(Cl(S)) = R.
    neat example..
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Interior and Closure of set proof
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: May 28th 2011, 05:29 PM
  2. Closure, interior..
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: April 30th 2010, 08:01 AM
  3. interior/ closure
    Posted in the Differential Geometry Forum
    Replies: 8
    Last Post: April 25th 2010, 02:54 PM
  4. Interior, Boundary, and Closure of Sets
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 22nd 2009, 05:01 PM
  5. Interior/Closure
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 5th 2009, 02:22 PM

Search Tags


/mathhelpforum @mathhelpforum