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Results tagged with stone-cech-compactification 
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                                 user 101716
    
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    Trivial convergent sequences in $\beta X$
                Let $X$ be a Tychonoff space and denote by $\beta X$ its Stone-Čech compactification. We know, for example, that if $X$ is an $F$-space then $\beta X$ is an $F$-space and, therefore, in $\beta X$, the …