Talk:Intrinsic metric

From Wikipedia, the free encyclopedia

You have new messages (last change).

I think this article should be moved to "Length space" or "Length metric". Also, there should be a definition of "Geodesic length space". I'll make these changes in a few weeks if no-one comments further. WLior -- 2006-3-25

The metric d is intrinsic if it has approximate midpoints

The statement is false, as is shown by the rationals. It's possibly true if the space is path-connected, but I'm a little wary: what if none of the paths connecting x and y is rectifiable? AxelBoldt 06:20, 10 April 2006 (UTC)

  1. Sometimes it also taken as a def of intrinsic metric and what is defined here called length metric space, I can not tell waht is the most standard def right now.
  2. The statement above is correct if the space is complete. Tosha 19:40, 10 April 2006 (UTC)
Retrieved from "http://en.wikipedia.org../../../i/n/t/Talk%7EIntrinsic_metric_4ea4.html"