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Words, grammatical forms and meanings linked to the ontology.

diagram chasing en · NOUN

Meanings

  1. (informal, uncountable) Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms.
    • To prove the five lemma, just use diagram chasing.
    • Category theory also contributes new proof techniques, such as diagram chasing or arguments by duality; Steenrod called these methods “abstract nonsense.”³ The aim of this text is to introduce the language, philosophy, and basic theorems of category theory. A complementary objective is to put this theory into practice: studying functoriality in algebraic topology, naturality in group theory, and universal properties in algebra. 2016, Emily Riehl, Category Theory in Context (Aurora: Dover modern math originals), New York: Dover, →ISBN, →OCLC, archived from the original on 14 Dec 2019, page x:

Relateds

diagram chase · abstract nonsense