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Topic: A canonical form for small ordinals
Replies: 12   Last Post: Jan 19, 2014 2:35 PM

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William Elliot

Posts: 2,637
Registered: 1/8/12
Re: A canonical form for small ordinals
Posted: Jan 17, 2014 3:02 AM
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On Thu, 16 Jan 2014, Paul wrote:

> I saw it asserted without proof that all ordinals, alpha, less than
> epsilon_0, can be uniquely expressed as omega ^ beta * (gamma + 1), for some
> gamma and some beta such that omega ^ beta < alpha, where omega is the
> smallest infinite ordinal. This isn't clear to me. Could anyone help or
> give a reference?

Cnator's normal form.

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