Word.ws English Dictionary

coinitial

coinitial adjective: having an element b for each element a in the superset such that b is less than or equal to a.

Adjective

coinitial (not comparable)

  1. Having an element b for each element a in the superset such that b is less than or equal to a.
    • 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

Origin of coinitial

From co- + initial.

Words formed from coinitial

Questions about coinitial

What does coinitial mean?
Coinitial means having an element b for each element a in the superset such that b is less than or equal to a.
What part of speech is coinitial?
Coinitial is an adjective.

Words near coinitial in the dictionary

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

Source and license

Adapted from Wiktionary: coinitial (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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Cite this entry: “coinitial.” Word.ws, https://word.ws/coinitial. Based on Wiktionary, CC BY-SA 4.0.