Hello, you have come here looking for the meaning of the word
diagram chasing. In DICTIOUS you will not only get to know all the dictionary meanings for the word
diagram chasing, but we will also tell you about its etymology, its characteristics and you will know how to say
diagram chasing in singular and plural. Everything you need to know about the word
diagram chasing you have here. The definition of the word
diagram chasing will help you to be more precise and correct when speaking or writing your texts. Knowing the definition of
diagram chasing, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Noun
diagram chasing (uncountable)
- (mathematics, somewhat informal) Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms.
2016, Emily Riehl, Category Theory in Context (Aurora: Dover modern math originals), New York: Dover, →ISBN, →OCLC, page x: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.
- To prove the five lemma, just use diagram chasing.
See also