Results 1 to 2 of 2

Math Help - parametrization of the k sphere

  1. #1
    Junior Member
    Joined
    May 2008
    Posts
    50

    parametrization of the k sphere

    How can I show that one cannot parametrize the k sphere S^k by a single parametrization?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Bruno J.'s Avatar
    Joined
    Jun 2009
    From
    Canada
    Posts
    1,266
    Thanks
    1
    Awards
    1
    You should be more specific. What do you mean by a parametrization? What do you mean by a "single parametrization"?

    For example, S^1 can be parametrized as \{(\cos t, \sin t) : t \in \mathbb{R}\}. Why is that no good?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. parametrization
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 26th 2009, 12:26 PM
  2. parametrization
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 28th 2009, 05:32 AM
  3. Parametrization
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 9th 2009, 05:41 AM
  4. parametrization for a sphere
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 16th 2007, 04:45 PM
  5. Replies: 3
    Last Post: October 23rd 2007, 01:44 PM

Search Tags


/mathhelpforum @mathhelpforum