Results 1 to 2 of 2

Math Help - Just making sure these statements are correct (Basic Topology)

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    60

    Just making sure these statements are correct (Basic Topology)

    I have a good idea of how to prove the following statements, I'm just wondering if they are correct.

    Basically, letting S = Q x Q (where Q is the set of rational numbers, so S is therefore the Cartesian Product of the set of rational numbers). I've deduced that:

    Boundary((Int(S)) = 0
    Interior(Complement(S)) = R^2
    Boundary(Int(Complement(S))) = 0
    Closure(Interior(S)) = 0
    Interior(Closure(S)) = R^2

    So just need to make sure Im looking at these the right way, and these are correct statements.

    Thanks a lot for your help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Apr 2009
    From
    México
    Posts
    721

    Re: Just making sure these statements are correct (Basic Topology)

    You interchanged (a typing mistake I hope) the second and third's answers (the interior of the complement of a dense set is empty).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Basic Conditional Statements:
    Posted in the Geometry Forum
    Replies: 3
    Last Post: September 21st 2011, 03:01 PM
  2. Replies: 1
    Last Post: November 4th 2010, 09:14 AM
  3. Intro Topology - Proving these statements
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 30th 2010, 03:25 AM
  4. How do you prove these really basic statements?
    Posted in the Discrete Math Forum
    Replies: 9
    Last Post: June 4th 2010, 11:10 AM
  5. making correct linear equation
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 6th 2009, 08:14 PM

Search Tags


/mathhelpforum @mathhelpforum