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{{Short description|Mathematical function on ordinals}}
In [[mathematics]], the '''Veblen functions''' are a hierarchy of [[normal function]]s ([[continuous function (set theory)|continuous]] [[strictly increasing function|strictly increasing]] [[function (mathematics)|function]]s from [[ordinal number|ordinal]]s to ordinals), introduced by [[Oswald Veblen]] in {{harvtxt|Veblen|1908}}. If φ<sub>0</sub> is any normal function, then for any non-zero ordinal α, φ<sub>α</sub> is the function enumerating the common [[fixed point (mathematics)|fixed point]]s of φ<sub>β</sub> for β<α. These functions are all normal.
== Veblen hierarchy ==
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