Results 1 to 2 of 2

Math Help - simply connected

  1. #1
    Super Member
    Joined
    Aug 2009
    Posts
    639

    simply connected

    how do we know that the curve is simply connection, given the curve gamma (t) = sigma (p(t)) where p(t) is a circle.

    do we say that since p(t) is simply connected, hence sigma(p(t)) is simply connection hence curve gamma(t) is simply connected?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,603
    Thanks
    1421

    Re: simply connected

    I suspect that those functions, p and gamma, will have to be continuous so that is true!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex Analysis - simply connected domain
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: November 22nd 2011, 11:54 AM
  2. show why domain D is not simply connected.
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: August 14th 2011, 02:41 AM
  3. The punctured euclidean space is simply connected (dim>2)
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: January 13th 2011, 11:00 PM
  4. simply or multiply connected ?
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 27th 2009, 08:13 AM
  5. Difficult simply connected problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 4th 2008, 10:26 PM

Search Tags


/mathhelpforum @mathhelpforum