Word.ws English Dictionary

coinitialities

coinitialities is the plural of coinitiality.

Meaning of coinitiality

Noun

coinitiality (countable and uncountable, plural coinitialities)

  1. (countable) The least cardinality of a coinitial subset of a partially ordered set.
  2. (uncountable) The property of being coinitial.
    • 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

Questions about coinitialities

What is coinitialities the plural of?
Coinitialities is the plural of coinitiality.

Words near coinitialities in the dictionary

  1. coiniest
  2. coining
  3. coining it
  4. coinings
  5. coinitial
  6. coinitialities
  7. coinitiality
  8. coinitially
  9. coinitiator
  10. coinitiators
  11. coinject

Source and license

Adapted from Wiktionary: coinitialities (page history and authors); coinitiality (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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