Results 1 to 2 of 2

Math Help - Trivial covering map

  1. #1
    Member ModusPonens's Avatar
    Joined
    Aug 2010
    Posts
    125
    Thanks
    14

    Trivial covering map

    Hello.

    I'm reading Munkres Topology, and I'm in chapter 9, section 53. Right on the first exercise I'm missing something important and I don't know what. The exercise says: Let Y have the discrete topology. Show that if p: XxY --> X is projection on the first coordinate, then p is a covering map.

    I've worked on it and, from my prespective, the only thing that fails is the homeomorphism between p^{-1}(U) and U. It can't be a homeomorphism because it's not injective (as long as Y has more than one point). What am I doing wrong?

    Thanks in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member ModusPonens's Avatar
    Joined
    Aug 2010
    Posts
    125
    Thanks
    14

    Re: Trivial covering map

    Ok, I got it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fixed radius disjoint ball covering vs. open covering
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: November 22nd 2010, 07:01 AM
  2. Need help with Trivial/Non trivial solution
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 6th 2010, 05:53 AM
  3. Covering space
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: June 30th 2009, 07:22 AM
  4. Trivial/Non Trivial Solutions
    Posted in the Advanced Algebra Forum
    Replies: 14
    Last Post: October 15th 2008, 05:17 PM
  5. covering
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 11th 2008, 01:01 PM

Search Tags


/mathhelpforum @mathhelpforum