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Homelength of curve in a metric space

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# length of curve in a metric space

*length of the curve* is defined to be
the supremum over all partitions of the quantity $\sum_{{i=1}}^{n}d(x_{i},x_{{i-1}})$.

Defines:

length of a curve

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

26B15*no label found*

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