Transfinite iteration functionals and ordinal arithmetic

Details Transfinite iteration functionals and ordinal arithmetic Transfinite iteration functionals and ordinal arithmetic

1999-08-24

arxiv.org/abs/math/9908127v1

Mathematics

Logic

Scientific paper

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.

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