Eckmann–Hilton Argument

(Category Theory)

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Category Theory
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What is Eckmann–Hilton argument?

In mathematics, the Eckmann–Hilton argument (or Eckmann–Hilton principle or Eckmann–Hilton theorem) is an argument about two unital magma structures on a set where one is a homomorphism for the other. Given this, the structures can be shown to coincide, and the resulting magma demonstrated to be commutative monoid. This can then be used to prove the commutativity of the higher homotopy groups. The principle is named after Beno Eckmann and Peter Hilton, who used it in a 1962 paper.

Technology Types

category theorytheorems in abstract algebra

Synonyms

Eckmann-Hilton argumentEckmann-Hilton principleEckmann-Hilton theoremEckmann–Hilton theorem

Translations

Argumento de Eckmann-Hilton (es)

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