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:

    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)

    I am fooling only myself when I say my mother exists now only in the photograph on my bulletin board or in the outline of my hand or in the armful of memories I still hold tight. She lives on in everything I do. Her presence influenced who I was, and her absence influences who I am. Our lives are shaped as much by those who leave us as they are by those who stay. Loss is our legacy. Insight is our gift. Memory is our guide.
    Hope Edelman (20th century)

    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)

    Lucretius
    Sings his great theory of natural origins and of wise conduct; Plato
    smiling carves dreams, bright cells
    Of incorruptible wax to hive the Greek honey.
    Robinson Jeffers (1887–1962)