Results 1 to 2 of 2

Thread: Topology

  1. January 30th 2009, 10:11 AM #1
    horowitz
    horowitz is offline
    Newbie
    Joined
    Jan 2009
    Posts
    13

    Topology

    Show that R in the finite complement topology is not Hausdorff.
    Follow Math Help Forum on Facebook and Google+
  2. January 30th 2009, 12:59 PM #2
    Opalg
    Opalg is offline
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    What does a neighbourhood of 0 look like in the finite complement topology? What does a neighbourhood of 1 look like? Can the points 0 and 1 have neighbourhoods that are disjoint from each other?
    Follow Math Help Forum on Facebook and Google+
« complex numbers | eigenvector problem »

Similar Math Help Forum Discussions

  1. Order topology = discrete topology on a set?
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: August 6th 2011, 11:19 AM
  2. a topology such that closed sets form a topology
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: June 14th 2011, 04:43 AM
  3. Show quotient topology on [0,1] = usual topology on [0,1]
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: November 5th 2010, 04:44 PM
  4. discrete topology, product topology
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: December 13th 2008, 02:19 PM
  5. discrete topology, product topology
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 7th 2008, 01:01 PM

Search Tags


/mathhelpforum @mathhelpforum