Results 1 to 1 of 1

Math Help - homotopy equivalence

  1. #1
    Newbie
    Joined
    Oct 2011
    Posts
    10

    homotopy equivalence

    Could someone explain, like just a geometric description, how the space $\mathbb{R}^3\backslash A$, where $A$ is the unit circle in the $xy$-plane, is homotopy equivalent to $S^2\vee S^1$, the one point union of a 2-sphere and a circle. I can't see it.
    Last edited by alsn; December 6th 2011 at 02:47 PM. Reason: just realised i meant R^3 not R.
    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, 06:10 AM
  2. Composition of homotopy equivalences is a homotopy equivalence.
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 30th 2011, 08:33 PM
  3. Replies: 8
    Last Post: December 4th 2010, 01:12 PM
  4. homotopy
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: July 23rd 2010, 05:09 AM
  5. homotopy
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: June 10th 2010, 05:20 AM

Search Tags


/mathhelpforum @mathhelpforum