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  1. Rekursion über Dilatoren und die Bachmann-Hierarchie.Peter Päppinghaus - 1989 - Archive for Mathematical Logic 28 (1):57-73.
    A hierarchy (J D g ) D Dilator of ordinal functionsJ D g : On→On is introduced and studied. It is a hierarchy of iterations relative to some giveng:OnarOn, defined by primitive recursion on dilators. This hierarchy is related to a Bachmann hierarchy $\left( {\phi _\alpha ^g } \right)_{\alpha< \varepsilon _{\Omega {\mathbf{ }} + {\mathbf{ }}1} }$ , which is built on an iteration ofg ↑ Ω as initial function.This Bachmann hierarchy $\left( {\phi _\alpha ^g } \right)_{\alpha< \varepsilon _{\Omega {\mathbf{ (...)
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