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Questions tagged [stone-cech-compactification]

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Is $\beta \mathbb{N}$ homeomorphic to its own square?

Let $\mathbb{N}$ be the set of natural numbers and $\beta \mathbb N$ denotes the Stone-Cech compactification of $\mathbb N$. Is it then true that $\beta \mathbb N\cong \beta \mathbb N \times \beta \...