Abstract:
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 $U\subset H^1(M,\mathbf R)$.
Figures: 1.
Bibliography: 20 titles.