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Hartogs numbers

Hartogs numbers is the plural of Hartogs number.

Meaning of Hartogs number

Noun

Hartogs number (plural Hartogs numbers)

  1. For a given set X, the cardinality of the least ordinal number α such that there is no injection from α into X.
    • 1973 [North-Holland], Thomas J. Jech, The Axiom of Choice, 2013, Dover, page 160,
      Let p be an infinite cardinal, |X|=p and let א=א(p) be the Hartogs number of p.

Questions about Hartogs numbers

What is Hartogs numbers the plural of?
Hartogs numbers is the plural of Hartogs number.

Words near Hartogs numbers in the dictionary

  1. Hartnup disease
  2. Hartnup disorder
  3. Hartog
  4. Hartogs
  5. Hartogs number
  6. Hartogs numbers
  7. Hartoin
  8. Hartola
  9. Harton
  10. Hartons
  11. Hartranft

Source and license

Adapted from Wiktionary: Hartogs numbers (page history and authors); Hartogs 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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