Timeline for Name for generalization of property: $f^n(x) \ne x$ for all $n > 0$

5 events

when toggle format	what		by	license	comment
Nov 20, 2018 at 20:27	history	edited	YCor		edited tags
Nov 20, 2018 at 20:14	history	edited	Hans Brende	CC BY-SA 4.0	added qualifiers
Nov 20, 2018 at 18:44	comment	added	LSpice		I think it captures your idea to think of the binary (or $n$-ary) operation as a multi-valued single-place function, in the sense I've discussed above, and then declare that the multi-valued function is strongly non-periodic, in the sense that none of the possible orbits through an element revisits its starting point.
Nov 20, 2018 at 18:42	comment	added	LSpice		Another way to say it (I think): if $\rightarrow$ is the smallest relation satisfying $x \rightarrow f(a_1, \dotsc, a_{i - 1}, x, a_{i + 1}, \dotsc, a_n)$ for all $i$ and all $x, a_1, \dotsc, a_n \in X$, then the transitive closure $\Rightarrow$ of $\rightarrow$ is anti-reflexive.
Nov 20, 2018 at 17:44	history	asked	Hans Brende	CC BY-SA 4.0