Powers of ℕ*

Farah, Ilijas

doi:10.1090/S0002-9939-01-06191-3

Powers of $\mathbb N^*$
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by Ilijas Farah

Proc. Amer. Math. Soc. 130 (2002), 1243-1246

DOI: https://doi.org/10.1090/S0002-9939-01-06191-3

Published electronically: October 1, 2001

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Abstract:

We prove that the Čech-Stone remainder of the integers, $\mathbb N^*$, maps onto its square if and only if there is a nontrivial map between two of its different powers, finite or infinite. We also prove that every compact space that maps onto its own square maps onto its own countable infinite product.

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