In mathematics, an exact category is a concept of category theory due to Daniel Quillen which is designed to encapsulate the properties of short exact sequences in abelian categories without requiring that morphisms actually possess kernels and cokernels, which is necessary for the usual definition of such a sequence.
Read more about Exact Category: Definition, Motivation, Examples
Famous quotes containing the words exact and/or category:
“Romanticism is found precisely neither in the choice of subjects nor in exact truth, but in a way of feeling.”
—Charles Baudelaire (1821–1867)
“The truth is, no matter how trying they become, babies two and under don’t have the ability to make moral choices, so they can’t be “bad.” That category only exists in the adult mind.”
—Anne Cassidy (20th century)