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Dec 5, 2019 at 6:34 comment added Martin Sleziak Since Conway base 13 function was mentioned in the first comment, I will also add link to this question: Is Conway's base-13 function measurable?
Dec 1, 2019 at 11:17 answer added bof timeline score: 2
Nov 30, 2019 at 16:06 comment added Martin Sleziak I will just point out that such functions can be obtained even without AC, some such examples can be found in this post on MathOverflow: Function with range equal to whole reals on every open set and also in several posts on Mathematics such as this one and other questions linked there. Functions with this property are sometimes called strongly Darboux.
Nov 30, 2019 at 16:00 review Close votes
Nov 30, 2019 at 22:06
Nov 30, 2019 at 15:59 history edited Martin Sleziak CC BY-SA 4.0
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Nov 30, 2019 at 15:51 history edited Martin Sleziak
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Nov 30, 2019 at 15:49 answer added Martin Sleziak timeline score: 4
Nov 30, 2019 at 15:44 comment added Wojowu en.wikipedia.org/wiki/Conway_base_13_function
Nov 30, 2019 at 15:29 history asked Vladimir Kanovei CC BY-SA 4.0