Results 1 to 3 of 3

Math Help - Continuity Definition

  1. #1
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9

    Continuity Definition

    Here is something that I found contradictory (or appears to be contradictory).

    I attached as a LaTeX to make it more readable.
    Attached Thumbnails Attached Thumbnails Continuity Definition-picture5.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,677
    Thanks
    1618
    Awards
    1
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    I do not understand what you wrote. I never studied topology. (Is topology a generalization of real analysis?)

    Sometime ago I was reading something on topology and I remember they defined countinous in terms of metric spaces. It is the same thing d(x,x_0) insteand of |x-x_0|. Which seems to confirm with the "well-defined" definition.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. epsilon-delta definition of continuity
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 5th 2011, 09:13 AM
  2. Definition of Continuity real analysis
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 18th 2008, 03:46 PM
  3. Uniform Continuity definition
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 16th 2008, 03:21 PM
  4. epsilon-delta definition of continuity
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 3rd 2008, 07:51 AM
  5. question on definition of continuity
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 20th 2008, 07:25 AM

Search Tags


/mathhelpforum @mathhelpforum