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Everything about First uncountable ordinal

Smallest ordinal number that, considered as a set, is uncountable

In mathematics, the first uncountable ordinal, traditionally denoted by or sometimes by, is the smallest ordinal number that is the order type of an uncountable well-ordered set. It is the supremum of all countable ordinals. In the von Neumann representation, the elements of are the countable ordinals, of which there are uncountably many. Wikipedia →

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  1. Read the overview: First uncountable ordinalA 5-minute orientation
  2. Read the landmark paper: The homeomorphism group of the first uncountable ordinalCited 2 times
  3. Go sideways: Spectrum of a theoryA closely related topic
  4. Go sideways: Set-theoretic topologyA closely related topic

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  1. Topological properties

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