Outline Of Category Theory
The following outline is provided as an overview of and guide to category theory:
Category theory – area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows (also called morphisms, although this term also has a specific, non category-theoretical sense), where these collections satisfy certain basic conditions. Many significant areas of mathematics can be formalised as categories, and the use of category theory allows many intricate and subtle mathematical results in these fields to be stated, and proved, in a much simpler way than without the use of categories.
Read more about Outline Of Category Theory: Essence of Category Theory, Branches of Category Theory, Specific Categories, Objects, Morphisms, Functors, Limits, Additive Structure, Dagger Categories, Monoidal Categories, Structure, Topoi, Toposes, History of Category Theory
Famous quotes containing the words outline of, outline, category and/or theory:
“One by one objects are defined—
It quickens: clarity, outline of leaf
But now the stark dignity of
entrance—Still, the profound change
has come upon them: rooted, they
grip down and begin to awaken”
—William Carlos Williams (1883–1963)
“A true poem is distinguished not so much by a felicitous expression, or any thought it suggests, as by the atmosphere which surrounds it. Most have beauty of outline merely, and are striking as the form and bearing of a stranger; but true verses come toward us indistinctly, as the very breath of all friendliness, and envelop us in their spirit and fragrance.”
—Henry David Thoreau (1817–1862)
“Despair is typical of those who do not understand the causes of evil, see no way out, and are incapable of struggle. The modern industrial proletariat does not belong to the category of such classes.”
—Vladimir Ilyich Lenin (1870–1924)
“The human species, according to the best theory I can form of it, is composed of two distinct races, the men who borrow and the men who lend.”
—Charles Lamb (1775–1834)