On subsequence sums of a zero-sum free sequence. II.
Gao, Weidong, Li, Yuanlin, Peng, Jiangtao, Sun, Fang (2008)
The Electronic Journal of Combinatorics [electronic only]
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Gao, Weidong, Li, Yuanlin, Peng, Jiangtao, Sun, Fang (2008)
The Electronic Journal of Combinatorics [electronic only]
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Zhuang, Jujuan (2008)
The Electronic Journal of Combinatorics [electronic only]
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Bajnok, Béla, Ruzsa, Imre (2003)
Integers
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Ladislav Procházka (1969)
Commentationes Mathematicae Universitatis Carolinae
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Cummings, L.J., Mays, M. (2001)
The Electronic Journal of Combinatorics [electronic only]
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Jorge Martinez (1972)
Czechoslovak Mathematical Journal
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Artur Hideyuki Tomita (1998)
Commentationes Mathematicae Universitatis Carolinae
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It was known that free Abelian groups do not admit a Hausdorff compact group topology. Tkachenko showed in 1990 that, under CH, a free Abelian group of size admits a Hausdorff countably compact group topology. We show that no Hausdorff group topology on a free Abelian group makes its -th power countably compact. In particular, a free Abelian group does not admit a Hausdorff -compact nor a sequentially compact group topology. Under CH, we show that a free Abelian group does not admit...