Outline of Category Theory

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:

    The outline of the city became frantic in its effort to explain something that defied meaning. Power seemed to have outgrown its servitude and to have asserted its freedom. The cylinder had exploded, and thrown great masses of stone and steam against the sky.
    Henry Brooks Adams (1838–1918)

    The outline of the city became frantic in its effort to explain something that defied meaning. Power seemed to have outgrown its servitude and to have asserted its freedom. The cylinder had exploded, and thrown great masses of stone and steam against the sky.
    Henry Brooks Adams (1838–1918)

    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)

    Frankly, these days, without a theory to go with it, I can’t see a painting.
    Tom Wolfe (b. 1931)