54-00-FirstAxiomOfCountability.tex

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\pmtitle{first axiom of countability}
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\begin{document}
A topological space $(X,\tau)$ satisfies the first axiom of countability
if the neighborhood system of every point $x\in X$ has a countable local base. A space that satisfies the first axiom of countability is said to be \emph{first-countable}.
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