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:
“Man ... cannot learn to forget, but hangs on the past: however far or fast he runs, that chain runs with him.”
—Friedrich Nietzsche (1844–1900)
“Health is a state of complete physical, mental and social well-being, and not merely the absence of disease or infirmity.”
—Constitution of the World Health Organization.