Outline of Category Theory - Branches of Category Theory

Branches of Category Theory

  • Homological algebra –
  • Diagram chasing –
  • Topos theory –
  • Enriched category theory –

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    “I couldn’t afford to learn it,” said the Mock Turtle with a sigh. “I only took the regular course.”
    “What was that?” inquired Alice.
    “Reeling and Writhing, of course, to begin with,” the Mock Turtle replied; “and then the different branches of Arithmetic—Ambition, Distraction, Uglification, and Derision.”
    “I never heard of ‘Uglification,’” Alice ventured to say.
    Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)

    “I couldn’t afford to learn it,” said the Mock Turtle with a sigh. “I only took the regular course.”
    “What was that?” inquired Alice.
    “Reeling and Writhing, of course, to begin with,” the Mock Turtle replied; “and then the different branches of Arithmetic—Ambition, Distraction, Uglification, and Derision.”
    “I never heard of ‘Uglification,’” Alice ventured to say.
    Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)

    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)

    The theory seems to be that so long as a man is a failure he is one of God’s chillun, but that as soon as he has any luck he owes it to the Devil.
    —H.L. (Henry Lewis)