Definition:Closed Curve
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Definition
A closed curve is a curve which has no endpoints.
Hence a closed curve has a continuous mapping onto a closed real interval $\closedint a b$ in which the images of $a$ and $b$ coincide.
Also see
- Results about closed curves can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): closed curve
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): curve
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): closed curve
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): curve