A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence |
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| Authors: | A.C. Boero A.H. Tomita |
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| Affiliation: | a Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, CEP 05508-090, São Paulo, Brazil
b Instituto de Matemáticas, Universidad Nacional Autónoma de México, Campus Morelia, Apartado Postal 61-3, Santa Maria, 58089, Morelia, Michoacán, Mexico |
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| Abstract: | We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence. |
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| Keywords: | primary, 54H11, 54A35, 54G20 secondary, 03E75 |
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