Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Making given metric space bounded

  1. May 18, 2008 #1
    I just encountered a claim, that for any given metric space (X,d), there exists another topologically equivalent metric d' so that (X,d') is bounded. Anyone knowing anything about the proof for this?
     
  2. jcsd
  3. May 18, 2008 #2

    morphism

    User Avatar
    Science Advisor
    Homework Helper

    Try putting d'=d/(1+d) or min{1,d}.
     
  4. May 18, 2008 #3
    Ok. I checked the min{1,d} one.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Making given metric space bounded
  1. Metric Spaces (Replies: 7)

  2. Metric space (Replies: 5)

  3. Metric Spaces (Replies: 26)

Loading...