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chain noun

  /ˈt͡ʃeɪn/
  • A series of interconnected rings or links usually made of metal.
  • A series of stores or businesses with the same brand name.
  • (mathematics, set theory, order theory) A totally ordered set, especially a totally ordered subset of a poset.
  • (algebraic topology, originally) A formal sum of cells in a CW complex of a certain dimension k (in which case the formal sums are called k-chains); a formal sum of simplices or cubes of a certain dimension in a simplical complex or cubical complex (respectively).
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chain verb

  /ˈt͡ʃeɪn/
  • (transitive) To fasten something with a chain.
  • (intransitive) To link multiple items together.
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chained adjective

  /t͡ʃeɪnd/
  • Bound with chains.
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