Non-formal compact manifolds with small Betti numbers.
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Publication date
2006
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Faculty of Mathematics University of Belgrade
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Abstract
We show that, for any k ¸ 1, there exist non-formal compact orientable (k ¡ 1)-connected n-manifolds with k-th Betti number bk = b ¸ 0 if and only if n ¸ maxf4k ¡ 1; 4k + 3 ¡ 2bg.