Definition 5.3.4 (Convergence).label Let $X$ be a topological space and $\net{x}\subset X$, then $\net{x}$ converges to $x$ if for every $U \in \cn(x)$, $\net{x}$ is eventually in $U$, denoted $x_{\alpha} \to x$.
Definition 5.3.4 (Convergence).label Let $X$ be a topological space and $\net{x}\subset X$, then $\net{x}$ converges to $x$ if for every $U \in \cn(x)$, $\net{x}$ is eventually in $U$, denoted $x_{\alpha} \to x$.
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