**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

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**Equalisers**can be defined by a universal property, which allows the notion to be generalised from the category of sets to arbitrary categories ... morphisms form a diagram in the category in question, and the**equaliser**is simply the limit of that diagram ... In more explicit terms, the**equaliser**consists of an object E and a morphism eq E → X satisfying, and such that, given any object O and morphism m O → X, if ...