Equaliser (mathematics)

Equaliser (mathematics)

In mathematics, an equaliser, or equalizer, is a set of arguments where two or more functions have equal values. An equaliser is the solution set of an equation. In certain contexts, a difference kernel is the equaliser of exactly two functions.

Read more about Equaliser (mathematics):  Definitions, Difference Kernels, In Category Theory

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Equaliser (mathematics) - In Category Theory
... Equaliserscan be defined by a universal property, which allows the notion to be generalised from the category of sets to arbitrary categories ... These objects and morphisms form a diagram in the category in question, and the equaliseris simply the limit of that diagram ... In more explicit terms, the equaliserconsists of an object E and a morphism eq E → X satisfying, and such that, given any object O and morphism m ...