In order-theoretic mathematics, a partially ordered set in is chain complete if every chain in it has a least upper bound. It is ω-complete when every increasing sequence of elements (a type of countable chain) has a least upper bound; the same notion can be extended to other cardinalities of chains.
Read more about Chain Complete: Examples, Properties
Famous quotes containing the words chain and/or complete:
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—David Mercer, British screenwriter, and Karel Reisz. Mrs. Dell (Irene Handl)
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—Frantz Fanon (1925–1961)