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| Authors: | Ilijas Farah |
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| Affiliation: | Department of Mathematics, College of Staten Island, 2800 Victory Blvd., Staten Island, New York 10314 and Mathematical Institute, Kneza Mihaila 35, 11000 Beograd, Yugoslavia |
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| Abstract: | We prove that the Cech-Stone remainder of the integers,  , 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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| Keywords: | v Cech-Stone compactifications product spaces continuous images |
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