A curve in a topological space is a continuous function from an interval into .
A simple curve is an injective curve, apart from the permitted coincidence of its two endpoints when it is closed.
A space-filling curve is a surjective continuous map from an interval onto a region of dimension at least two.

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Curve by Wikipedia Bot 1
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Curve can refer to different concepts depending on the context. Here are a few common interpretations: 1. **Mathematics**: In geometry, a curve is a continuous and smooth flowing line without sharp angles. Curves can be linear (like a straight line) or non-linear (such as circles, ellipses, or more complex shapes).
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