Inversion of elements in a group.
Even if you try to generalize bijections by using a condition that the relation must be function-like for multiple domain/codomain partitions (e.g. for any values of any k places, there are designated values for other n-k), each partition is into 2 parts.
-
-
A ternary correspondence is a subset of X x Y x Z such that each element of X, Y, or Z appears in precisely one element of the subset.
-
You can alternatively phrase this in 2-ish ways if you like, but you can phrase anything in lots of ways. It's not fundamentally a 2-ish notion, except in that each 3-point simplex contains within it 2-simplices for its sides, and so on.
-
As I said, you can express all the higher n-ary structure from 2-ary structure, yes, but this needn't be considered the primary presentation.
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.