Results 1 to 2 of 2

Math Help - continuous

  1. #1
    Member
    Joined
    Jan 2011
    Posts
    83
    Thanks
    1

    continuous

    if f : X--> Y is continuous and onto such that X is compact.

    let g:Y--> Z is a function such that g0f is continuous. prove that g is contiuous.

    how it can be prceeded.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member girdav's Avatar
    Joined
    Jul 2009
    From
    Rouen, France
    Posts
    675
    Thanks
    32

    Re: continuous

    Is there an assumption over X like Hausdorff? You can show that g^{-1}(F) is closed for F closed.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. prove that every continuous function is separately continuous
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: November 23rd 2011, 03:57 AM
  2. Replies: 3
    Last Post: April 18th 2011, 08:19 AM
  3. Replies: 3
    Last Post: April 18th 2011, 07:24 AM
  4. Uniformly Continuous but not absolutely continuous example?
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: March 9th 2010, 01:23 PM
  5. Uniformly Continuous but not absolutely continuous example?
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: March 9th 2010, 10:43 AM

Search Tags


/mathhelpforum @mathhelpforum