Word.ws English Dictionary

antichains

antichains is the plural of antichain.

Meaning of antichain

Noun

antichain (plural antichains)

  1. (error-lua-exec) A subset, A, of a partially ordered set, (P, ≤), such that no two elements of A are comparable with respect to ≤.
    • First of all, Zorn's Lemma implies that every uncountable antichain in T is contained in a maximal uncountable antichain. So it suffices to make sure that T has no maximal uncountable antichains.1997, Winfried Just, Martin Weese, Discovering Modern Set Theory II: Set-Theoretic Tools for Every Mathematician, American Mathematical Society, page 140

Questions about antichains

What is antichains the plural of?
Antichains is the plural of antichain.

Words near antichains in the dictionary

  1. anticestodals
  2. antichafe
  3. antichafing
  4. antichagasic
  5. antichain
  6. antichains
  7. antichamber
  8. antichambers
  9. antichance
  10. antichange
  11. antichaos

Source and license

Adapted from Wiktionary: antichains (page history and authors); antichain (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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