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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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Paul

Posts: 428
Registered: 7/12/10
A canonical form for small ordinals
Posted: Jan 16, 2014 5:31 PM
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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?

Thank You,

Paul Epstein



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