Comparing hierarchies of total functionals

Comparing hierarchies of total functionals

Blog Article

In this paper we consider two hierarchies of Grill Rack hereditarily total and continuous functionals over the reals based on one extensional and one intensional representation of real numbers, and we discuss under which asumptions these hierarchies coincide.This coincidense problem is equivalent to Video Interface a statement about the topology of the Kleene-Kreisel continuous functionals.As a tool of independent interest, we show that the Kleene-Kreisel functionals may be embedded into both these hierarchies.