%0 Book Section %T Non-formal compact manifolds with small Betti numbers. publisher Faculty of Mathematics University of Belgrade %D 2006 %U 86-7589-059-1 %@ https://hdl.handle.net/20.500.14352/53234 %X 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. %~