chain

n//ˈt͡ʃeɪn//

kedja, kedja fast

  1. A series of interconnected rings or links usually made of metal.

  2. A series of stores or businesses with the same brand name.

  3. (mathematics, set theory, order theory) A totally ordered set, especially a totally ordered subset of a poset.

  4. (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).

  5. (transitive) To fasten something with a chain.

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