On the sharpness of Novikov type inequalities for manifolds with free Abelian fundamental group

For manifolds $M^n$, $n\geqslant6$, with free Abelian fundamental group and four-connected universal covering, the author proves the sharpness of Novikov's inequalities for rational cohomology classes $\xi\in H^1(M,\mathbf Q)$ belonging to an open everywhere dense set $U\subset H^1(M,\mathbf R)$.
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Bibliography: 20 titles.