Categories of Tetration and Iteration

[Gottfried]

Dear Participants in tha Forum,

Taking into consideration the problems of dealing with new subjects, such as Hyperoperations and, particularly, Tetration, I take the liberty of proposing (attached) the terminology and symbols that, both KAR and myself, we used in our common research, as it also appears in the NKS Forum, News and Announcements. By this, I am trying to follow, whenever it's possible the ideas put forward by various researchers in this new mathematical field.

I hope it will be useful.

GFR

Dear Gianfranco & Forum -

I took a rest in the last days, and used it to fiddle a bit with operator-definitions like at the kitchen-table. The basic ideas can surely be found elsewhere, but I liked it to express a scheme by myself.
The advantage is, that the notation is one-to-one translatable to a matrix-operator-approach for each common operation.

Maybe it is helpful too; and I'm thinking it's worth to be considered in this or that way -

Gottfried
Operators