map (changes) in nLab

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Idea

In the original use of the term, a map or mapping is just a function (between sets ). The term is often used forcontinuous functions between topological spaces and indeed also generally for any morphism in any category. Accordingly, for instance the term mapping space is often used synonymously for internal hom.

The However, term in is the often used for continuous category functions theory between literature one should be aware of a different usage; see topological bicategory spaces of maps and indeed also generally for any morphism in any category.

Accordingly, for instance the term mapping space is often used synonymously for internal hom.

Related concepts

• function
• homomorphism
• morphism