Timeline for Can there be two continuous real-valued functions such that at least one has rational values for all x?
Current License: CC BY-SA 2.5
13 events
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Sep 10, 2010 at 20:21 | comment | added | Harry Gindi | I retagged this to general topology and real analysis, but the real analysis may be inappropriate here. I guess it's really more "topology of the real line". | |
Sep 10, 2010 at 20:20 | history | edited | Harry Gindi |
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Sep 10, 2010 at 20:17 | answer | added | Mikhail Bondarko | timeline score: 21 | |
Sep 10, 2010 at 20:08 | vote | accept | mathahada | ||
Sep 10, 2010 at 19:59 | comment | added | Joel David Hamkins | Sorry, I meant non-constant on any interval. | |
Sep 10, 2010 at 19:58 | answer | added | Joel David Hamkins | timeline score: 16 | |
Sep 10, 2010 at 19:50 | comment | added | user5810 | R is connected, so locally constant is equivalent to constant. | |
Sep 10, 2010 at 19:48 | comment | added | Joel David Hamkins | You probably want non-locally constant, since there are trivial counterexamples with two functions making steps with constant rational value on intervals. | |
Sep 10, 2010 at 19:48 | answer | added | user5810 | timeline score: 7 | |
Sep 10, 2010 at 19:47 | comment | added | mathahada | Yeah - edited to fix that. | |
Sep 10, 2010 at 19:46 | history | edited | mathahada | CC BY-SA 2.5 |
added 13 characters in body; added 4 characters in body
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Sep 10, 2010 at 19:45 | comment | added | Andy Putman | I assume that you want f(x) and g(x) to be nonconstant? | |
Sep 10, 2010 at 19:38 | history | asked | mathahada | CC BY-SA 2.5 |