In mathematics, and particularly category theory a coherence condition is a collection of conditions requiring that various compositions of elementary morphisms are equal. Typically the elementary morphisms are part of the data of the category.
Read more about Coherence Condition: An Illustrative Example: A Monoidal Category, Further Examples, Identity, Associativity of Composition
Famous quotes containing the words coherence and/or condition:
“When the coherence of the parts of a stone, or even that composition of parts which renders it extended; when these familiar objects, I say, are so inexplicable, and contain circumstances so repugnant and contradictory; with what assurance can we decide concerning the origin of worlds, or trace their history from eternity to eternity?”
—David Hume (1711–1776)
“If the condition of things which we were made for is not yet, what were any reality which we can substitute? We will not be shipwrecked on a vain reality.”
—Henry David Thoreau (1817–1862)