Hyperations, Veblen progressions and transfinite iteration of ordinal functions (Q385073)
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scientific article; zbMATH DE number 6234677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperations, Veblen progressions and transfinite iteration of ordinal functions |
scientific article; zbMATH DE number 6234677 |
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Hyperations, Veblen progressions and transfinite iteration of ordinal functions (English)
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29 November 2013
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The authors build transfinite hierarchies of functions that refine hierarchies built in the manner of \textit{O. Veblen} [Trans. Am. Math. Soc. 9, 280--292 (1908; JFM 39.0102.01)]. The new sequences have the advantage of preserving normality at limits. Additionally, if an initial function \(f\) has a well-behaved left inverse, then a sequence of similar inverses can be found for the entire hierarchy generated by \(f\).
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ordinal functions
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transfinite iteration
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Veblen progressions
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normal functions
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cohyperation
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adjoint
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