Category:Definitions/Continuous Mappings

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This category contains definitions related to Continuous Mappings.
Related results can be found in Category:Continuous Mappings.


The concept of continuity makes precise the intuitive notion that a function has no "jumps" at a given point.

Loosely speaking, in the case of a real function, continuity at a point is defined as the property that the graph of the function does not have a "break" at the point.

Thus, a small change in the independent variable causes a similar small change in the dependent variable

This concept appears throughout mathematics and correspondingly has many variations and generalizations.