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Apr 14, 2021 at 6:20 comment added Martin Sleziak Some related posts on Mathematics: Function whose image of every open interval is $(-\infty,\infty)$, Is there a function $f\colon\mathbb{R}\to\mathbb{R}$ such that every non-empty open interval is mapped onto $\mathbb{R}$?, Can we construct a function $f:\mathbb{R} \rightarrow \mathbb{R}$ such that it has intermediate value property and discontinuous everywhere?
Nov 2, 2014 at 19:00 answer added Alex B. timeline score: 1
Dec 12, 2010 at 11:55 answer added Sune Jakobsen timeline score: 1
Dec 11, 2010 at 14:44 answer added gowers timeline score: 6
Jul 20, 2010 at 12:49 answer added Gareth timeline score: 1
Jul 17, 2010 at 6:42 vote accept falagar
Jul 16, 2010 at 16:34 comment added Alekk it suffices that the range of f is equal to (0,1) on every open set: write the decimal expansion of x and if the density d(x) of 1 in this expansion exists then define f(x) = d(x) and 0 otherwise.
Jul 16, 2010 at 16:10 answer added Nate Eldredge timeline score: 6
Jul 16, 2010 at 12:25 history edited Andrey Rekalo
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Jul 16, 2010 at 12:22 answer added Keivan Karai timeline score: 6
Jul 16, 2010 at 10:38 answer added Gerry Myerson timeline score: 4
Jul 16, 2010 at 7:35 answer added Jim Belk timeline score: 46
Jul 16, 2010 at 7:13 answer added Robin Chapman timeline score: 44
Jul 16, 2010 at 7:05 history asked falagar CC BY-SA 2.5