Zulip Chat Archive
Stream: new members
Topic: Metric space distance has value in R?
Rémi Bottinelli (Feb 18 2022 at 05:47):
Hey! Is there a reason that the distance function on (pseudo) metric spaces isn't t\Rge0-valued?
Adam Topaz (Feb 18 2022 at 05:52):
It's actually both. Take a look at the definition of docs#pseudo_metric_space
Rémi Bottinelli (Feb 18 2022 at 05:53):
pseudo metric extends pseudo emetric, hence inherits the edist, and adds a dist ?
Kevin Buzzard (Feb 18 2022 at 08:51):
I think the reason is simply that ℝ is easier to use (eg it has a non-pathological subtraction)
Sebastien Gouezel (Feb 18 2022 at 09:19):
We have the function nndist which is nnreal-valued.
Eric Wieser (Feb 18 2022 at 09:32):
Last updated: May 02 2025 at 03:31 UTC