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A characterization of the Veblen-Schütte functions by means of functionals

✍ Scribed by Hilbert Levitz

Book ID
112783111
Publisher
European Mathematical Society
Year
1973
Tongue
English
Weight
340 KB
Volume
48
Category
Article
ISSN
0010-2571

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An order-theoretic characterization of t
An order-theoretic characterization of the Schütte-Veblen-Hierarchy
✍ Andreas Weiermann 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 830 KB

## Abstract For __f__: __On__ → __On__ let supp(__f__): = ξ: 0, and let __S__ := {__f__ : __On__ → __On__ : supp(__f__) finite}. For __f,g__ ϵ __S__ define __f__ ≤ __g__ : ↔ (∃__h__ : __On__ → __On__)[__h__ one‐to‐one ⁁ (∀ξ)__f__(ξ) ≤ __g__(__h__(ξ))]. A function ψ : __S__ → __On__ is called __mo