Fixed-point lemma for normal functions: Difference between revisions

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Example application: use omega rather than aleph because we are talking about ordinals
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== Example application ==
The function ''f'' : Ord → Ord, ''f''(α) = אω<sub>α</sub> is normal (see [[alephinitial numberordinal]]). Thus, there exists an ordinal Θθ such that Θθ = אω<sub>Θθ</sub>. In fact, the lemma shows that there is a closed, unbounded class of such Θθ.
 
==References==