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 The sixtieth anniversary of the Great October Socialist Revolution 609 Groups with a dense system of complemented nonextremal Abelian subgroupsN. S. Chernikov 611 Borsuk's problemV. G. Boltyanskii, V. P. Soltan 621 Morphisms of geometric structuresP. Ya. Grushko 633 The problem of local rigidity in the class $C^\infty$Z. D. Usmanov 643 A submanifold in $P^n$ with parallel normal subbundle which is normalized in the sense of NordenA. V. Chakmazyan 649 Optimal interpolation of differentiable periodic functions with bounded higher derivativeV. L. Velikin 663 Diameters of a class of smooth functions in the space $L_2$R. S. Ismagilov, Kh. Nasyrova 671 Convergence of eigenfunction expansions at points of discontinuity of the coefficients of a differential operatorV. A. Il'in 679 Separate asymptotics of two series of eigenvalues for a single elliptic boundary-value problemA. N. Kozhevnikov 699 Order of growth of the degrees of a polynomial basis of a space of continuous functionsV. N. Temlyakov 711 Higher derivatives of mappings of locally convex spacesO. G. Smolyanov 729 Inequalities for the distribution of a sum of functions of independent random variablesA. M. Zubkov 745 A characterization of Gaussian measures on locally compact Abelian groupsB. L. S. Prakasa Rao 759 Distribution of the supremum of sums of independent variables with negative driftM. S. Sgibnev 763 Doctoral theses Conjugate functionsO. D. Tsereteli 771