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Aug 9, 2019 at 21:56 comment added YCor The distance is uniformly bounded by $1$. Since the whole space has infinite measure, this is not "locally finite" in your sense.
Aug 9, 2019 at 21:51 comment added Michael Hmm, it's bounded by what ?
Aug 9, 2019 at 21:19 comment added YCor On bounded subsets? this is not standard... in the answer you accepted, the whole space is bounded, so it doesn't work.
Aug 9, 2019 at 21:13 comment added Michael I mean finite on bounded subsets
Aug 9, 2019 at 20:51 vote accept Michael
Aug 9, 2019 at 13:13 history edited YCor CC BY-SA 4.0
changed to more precise title
Aug 9, 2019 at 7:57 history became hot network question
Aug 9, 2019 at 4:49 comment added YCor What do you call "locally finite"? This terminology is usually used in locally compact spaces, where it equivalently means (a) finite on compact subsets (b) each point has a neighborhood of finite measure. The terminology would rather naturally mean (b), but it's better specify.
Aug 9, 2019 at 0:22 answer added Gerald Edgar timeline score: 8
Aug 8, 2019 at 23:50 history asked Michael CC BY-SA 4.0