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Feb 18, 2012 at 13:00 comment added Hans @Yemon Choi: it doesn't really relate to the question. sorry for this disattention. and thanks for warning.
Feb 17, 2012 at 23:21 comment added Todd Trimble Much more interestingly, a distance-decreasing function between compact metric spaces is a surjection iff it is an isometry. See the discussion in the thread linked to by Moshe.
Feb 17, 2012 at 22:18 comment added Yemon Choi How does this address the original question?
Feb 17, 2012 at 21:51 history made wiki Post Made Community Wiki by François G. Dorais
Feb 17, 2012 at 20:49 history answered Hans CC BY-SA 3.0