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epsilon numbers

epsilon numbers is the plural of epsilon number.

Meaning of epsilon number

Noun

epsilon number (plural epsilon numbers)

  1. Any (necessarily transfinite) ordinal number α such that ω^α = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ωˣ.
    • More generally, the epsilon numbers are the ordinals #92;varepsilon for which #92;varepsilon#61;#92;omega#92;varepsilon. The smallest epsilon number is #92;varepsilon#95;0. It is a countable ordinal, being the countable union of countable sets. By the Veblen fixed-point theorem, the class of...1977, Herbert B. Enderton, Elements of Set Theory, Elsevier (Academic Press), page 240

Questions about epsilon numbers

What is epsilon numbers the plural of?
Epsilon numbers is the plural of epsilon number.

Words near epsilon numbers in the dictionary

  1. epsilometers
  2. epsilometric
  3. epsilon
  4. epsilon iron
  5. epsilon number
  6. epsilon numbers
  7. Epsilon Pegasi
  8. Epsilon Ursae Majoris
  9. Epsilon variant
  10. epsilon-machine
  11. epsilon-machines

Source and license

Adapted from Wiktionary: epsilon numbers (page history and authors); epsilon number (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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