Timeline for Every function on reals a sum of two surjective real functions?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 4 at 16:56 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
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| Jan 4 at 16:51 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
added 67 characters in body
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| Jan 4 at 16:46 | comment | added | Joel David Hamkins | Yes, I'm thinking it might be modifiable for bijective. But there are a few interferring obstacles... Perhaps someone else will figure it out? | |
| Jan 4 at 16:45 | comment | added | vidyarthi | Thanks! And how about bijective. Will this construction not work (albeit with essential modifications)? | |
| Jan 4 at 16:44 | comment | added | Joel David Hamkins | @LSpice Thanks, I've edited for clarity. And yes about $a$ and $\alpha$, the point being that we've placed $x_\alpha$ into the range of $g$ at stage $\alpha$. | |
| Jan 4 at 16:43 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
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| Jan 4 at 16:42 | comment | added | LSpice | My older eyes blurred the subscript a bit, so, just to say it explicitly, in $g(a) = x_\alpha$, it's an $a$ in the argument but an $\alpha$ in the subscript. (And I think "$a$ not yet specified" should perhaps be "$a$ not yet used", as with "$b$ not yet used".) | |
| Jan 4 at 16:38 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |