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Author(s) -
Ilijas Farah
Publication year - 2001
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-01-06191-3
Subject(s) - countable set , annotation , type (biology) , algorithm , semantics (computer science) , product (mathematics) , space (punctuation) , computer science , mathematics , discrete mathematics , artificial intelligence , geometry , programming language , ecology , biology , operating system
We prove that the Čech-Stone remainder of the integers, N ∗ \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.