Results 1 to 3 of 3

Math Help - Proving Metric Spaces

  1. #1
    Newbie
    Joined
    May 2010
    From
    Glasgow
    Posts
    2

    Post Proving Metric Spaces

    Hi! I'm struggling with a question from a past paper:

    Let C denote the set of complex numbers and define a mapping d:C x C > R by the rule,
    d(x,y) = 0, x=y
    = |x|+|y| x doesn't = y.
    I need to prove that (C,d) is a metric space....help please!!

    Abi
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by abigail88 View Post
    Hi! I'm struggling with a question from a past paper:

    Let C denote the set of complex numbers and define a mapping d:C x C > R by the rule,
    d(x,y) = 0, x=y
    = |x|+|y| x doesn't = y.
    I need to prove that (C,d) is a metric space....help please!!

    Abi

    This is very easy stuff for anyone knowing the very basic definitions: what have you done, what have you attempted? Where are you stuck?
    At the very least you must know what has to be proved...

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2010
    From
    Glasgow
    Posts
    2
    It's fine, we've solved it already
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Proving a function is continuous in a metric spaces
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: December 30th 2011, 05:26 AM
  2. Any metric spaces can be viewed as a subset of normed spaces
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: December 15th 2011, 03:00 PM
  3. Metric Spaces
    Posted in the Math Challenge Problems Forum
    Replies: 1
    Last Post: January 23rd 2010, 07:42 AM
  4. Metric Spaces ...... help!
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: December 16th 2009, 10:16 AM
  5. metric spaces
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 28th 2008, 08:29 AM

Search Tags


/mathhelpforum @mathhelpforum