Last Updated
：2025/12/05
epsilon number
Noun
Japanese Meaning
セット理論において、ω^α = α を満たす（必然的に超限の）順序数としてのイプシロン数 / 一般化して、指数写像 x → ωˣ の不動点となる超実数あるいは超順序数としてのイプシロン数
（ plural ）
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(set theory) Any (necessarily transfinite) ordinal number α such that ωα = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ωˣ.
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epsilon number
An epsilon number is an ordinal α such that ωα = α, and its study reveals deep properties of ordinal exponentiation.
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An epsilon number is an ordinal α such that ωα = α, and its study reveals deep properties of ordinal exponentiation.
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