coinitiality
coinitiality noun: the least cardinality of a coinitial subset of a partially ordered set.
Noun
coinitiality (countable and uncountable, plural coinitialities)
- The least cardinality of a coinitial subset of a partially ordered set.
- 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
Forms of coinitiality
| plural | coinitialities |
|---|
Origin of coinitiality
From coinitial + -ity.
Questions about coinitiality
- What does coinitiality mean?
- Coinitiality means the least cardinality of a coinitial subset of a partially ordered set.
- What part of speech is coinitiality?
- Coinitiality is a noun.
- What is the plural of coinitiality?
- The plural of coinitiality is coinitialities.
Words near coinitiality in the dictionary
Source and license
Adapted from Wiktionary: 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.
Last updated:
Cite this entry: “coinitiality.” Word.ws, https://word.ws/coinitiality. Based on Wiktionary, CC BY-SA 4.0.