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Open Ball

Last updated Nov 1, 2022

# Definition

Let $(M, d)$ be a Nonempty Metric Space and let $x \in M$. Then an Open Ball about $x$ of radius $\epsilon \in \mathbb{R}{>0}$ is the Set: $$B{\epsilon}(x) := {y \in M : d(x,y) < \epsilon}.$$

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