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Alphabetical order - MaRDI portal

Alphabetical order (Q1105624)

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scientific article; zbMATH DE number 4059463
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English
Alphabetical order
scientific article; zbMATH DE number 4059463

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    Alphabetical order (English)
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    1988
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    Let \(\xi\) be an ordinal with \(2\leq \xi <\omega_ 1\), and let \(\xi^*\) be the set of all finite sequences of members of \(\xi\) with the lexicographical order (in this paper it is called alphabetical order). The author shows the nondifficult result that \(\xi^*\) has the order type \(\omega (1+\eta)\).
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    lexicographical order
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    order type
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