Results 1 to 2 of 2

Math Help - Covering spaces, R^n, homomorphism

  1. #1
    Newbie
    Joined
    Feb 2011
    Posts
    22

    Covering spaces, R^n, homomorphism

    Hello all,
    Let A be a subset of R^n . let h : (A, a_0) \rightarrow (Y, y_0) . show that if h is extendable to a continuous map of R^n into Y, then h_* is the zero homomorphism. (the trivial homomorphism that maps everything to the identity element)

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    May 2010
    From
    Los Angeles, California
    Posts
    274
    Thanks
    1
    Hint: Let [f]\in \pi_1(A,a_0). Show that h\circ f is nullhomotopic.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Homotopy equivalence and covering spaces
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: December 4th 2011, 07:10 AM
  2. covering spaces
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: July 18th 2011, 05:56 PM
  3. Covering spaces
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: December 7th 2010, 10:09 AM
  4. Homology & covering spaces
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: October 26th 2009, 07:11 PM
  5. Covering Spaces
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 28th 2009, 12:17 PM

Search Tags


/mathhelpforum @mathhelpforum