Real Analysis/Limit Points (Accumulation Points)

Definition

Let $(X,d)$ be a metric space, and let $A \subset X$ . We call $x \in X$ a limit point of $A$ if for any $\epsilon > 0$ there exists some $y \neq x$ such that $y \in B(x,\epsilon)\cap A$ .

We denote the set $lim(A)$ the set of all $x \in X$ such that $x$ is a limit point of $A$ .

Last modified on 10 January 2010, at 18:05

Real Analysis/Limit Points (Accumulation Points)

Definition

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