Timeline for Comparing "axiomatized function spaces"
Current License: CC BY-SA 4.0
2 events
| when toggle format | what | by | license | comment | |
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| Mar 21, 2021 at 14:18 | comment | added | pregunton | I think there is a path between the projection functions $(x,y)\mapsto x$ and $(x,y) \mapsto y$. Consider the one-parameter family of continuous associative functions $f_t(x,y)=\max(\min(x,\tan(\pi t/2)),y)$ with $−1<t<1$, which form a path between $f_{−1}(x,y):=y$ and $f_1(x,y):=\max(x,y)$. By symmetry there is another path between $f_1(x,y)$ and $(x,y)↦x$, so we may take the composition of these two paths. | |
| Apr 30, 2020 at 10:53 | history | answered | user44143 | CC BY-SA 4.0 |