Word.ws English Dictionary

cofinality

cofinality noun: the least cardinality of a cofinal subset of a partially ordered set.

Noun

cofinality (countable and uncountable, plural cofinalities)

  1. (countable) The least cardinality of a cofinal subset of a partially ordered set.
    • The cofinality of any set with a greatest element is 1.
    • The dual notion of cofinality is coinitiality: a set S#92;subseteqP is called coinitial if for every p#92;inP there is q#92;inS such that q#92;lep. Equivalently, a coinitial set in P is a cofinal set in P#92;ast#58;#61;(P,#92;ge). […] Both cofinality and coinitiality need not be well-defined for an...2024 November 12, Steffen Lempp, Alberto Marcone, Manlio Valenti, “Chains and antichains in the Weihrauch lattice”, in arXiv, page 1, archived from the original on 23 Jun 2026
  2. (uncountable) The property of being cofinal.

Forms of cofinality

pluralcofinalities

Origin of cofinality

From cofinal + -ity.

Questions about cofinality

What does cofinality mean?
Cofinality means the least cardinality of a cofinal subset of a partially ordered set.
What part of speech is cofinality?
Cofinality is a noun.
What is the plural of cofinality?
The plural of cofinality is cofinalities.

Words near cofinality in the dictionary

  1. cofilmmaker
  2. cofilmmakers
  3. cofiltered
  4. cofinal
  5. cofinalities
  6. cofinality
  7. cofinally
  8. cofinance
  9. cofinanced
  10. cofinances
  11. cofinancing

Source and license

Adapted from Wiktionary: cofinality (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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