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

Wild metric on the 2 disc

  1. Aug 10, 2009 #1
    Can you show me a metric on the 2 dimensional disc so wild that no open subset can be embedded in R^3?
  2. jcsd
  3. Aug 11, 2009 #2
    Embedded isometrically? Otherwise, it's false.
  4. Aug 11, 2009 #3
    yes. No open subset can be embedded isometrically in R^3
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook