# Stone-- Čech compactification trouble

How do we show the adhering to?

Allow $X$ be a topological room and also allow $x \in X$. Show that if $x$ has a countable area basis in $X$ after that $x$ has a countable area basis in $\beta X$. Below $\beta X$ represents the Stone-- Čech compactification of $X$.

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user10 2019-12-02 02:49:03

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