Continuous mapping ↩

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created: 2021-12-15 13:53:25
modified: 2022-06-15 01:21:47

Let

and

be metric spaces. A mapping

is said to be continuous at a point

if for every

there is a

such that

is said to be continuous if it is continuous at every point of .

This a generalization of continuous functions for metric spaces.

Illustration

Illustrating the definition in the case of Euclidean planes and :