Transfinite iteration functionals and ordinal arithmetic
Norman Danner
Abstract
We investigate the relationship between (countable) transfinite iteration and ordinal arithmetic. The nice connection between finite iteration and addition, multiplication, and exponentiation is lost when passing to the transfinite. In this note, we investigate a new equivalence relation on ordinal functionals with respect to which we restore the connection.
Create a lesson
Related papers
The universal measure of nonstochastic objects
Vladimir Vovk
Hyperarithmetic directions can all be exceptional for Marstrand's projection theorem
Noam Greenberg, Daniel Turetsky
Open Problems in Mathematical Logic
George Barmpalias, Su Gao, Jialiang He et al.
An easy proof that there may be no P-points
David Chodounský, Osvaldo Guzmán, Jonathan Verner
Comments on Choiceless Chain Conditions
Constance Bromham, Asaf Karagila
Localic Esakia Duality via Conic Frames
Nesta van der Schaaf