Covering number

Covering number
Not to be confused with Winding number or degree of a continuous mapping, sometimes called "covering number" or "engulfing number".

In mathematics, the ε-covering number of a metric space (X, d), for some ε > 0, is the minimum number of balls of radius \epsilon that are needed to cover X.

A related concept is the ε-packing number which is defined as the maximum number of disjoint balls of radius ε that fit into X.



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