Results 1 to 3 of 3

Math Help - Bases for topologies

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    3

    Bases for topologies

    Hello i need yours help!!

    Show that the class of closed intervals [a,b], where a and b are rational and a<b, is not a base for a topology on the real line R
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    Quote Originally Posted by Debor View Post
    Hello i need yours help!!

    Show that the class of closed intervals [a,b], where a and b are rational and a<b, is not a base for a topology on the real line R
    Suppose that a<b<c, and consider the intersection [a,b]\cap[b,c].
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by Debor View Post
    Hello i need yours help!!

    Show that the class of closed intervals [a,b], where a and b are rational and a<b, is not a base for a topology on the real line R
    How do you define base? What topology?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Subspace topologies
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 24th 2011, 09:39 PM
  2. Easier way to look at topologies?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 10th 2010, 04:18 AM
  3. how many topologies can be made
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 17th 2009, 03:02 AM
  4. IVT with different topologies
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 10th 2009, 10:27 PM
  5. Comparing topologies
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: January 22nd 2009, 09:48 PM

Search Tags


/mathhelpforum @mathhelpforum