In $\beta\mathbb N$ there are no non-trivial convergent sequences. I want to show this, but what is the meaning of non -trivial convergent sequence?
Stone-Cech compactification $\beta\mathbb N$ and convergence
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general-topology
1 Answers
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Any sequence which is eventually constant converges (in any topology). These might be called the "trivial convergent sequences."
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0Oh, yes, I can see. Thanks so much . – 2012-11-18