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 Homological properties of associative algebras: the method of helicesA. I. Bondal, A. E. Polishchuk 3 Relativizable and nonrelativizable theorems in the polynomial theory of algorithmsN. K. Vereshchagin 51 The optimality principle for discrete and differential inclusions of parabolic type with distributed parameters, and dualityE. N. Makhmudov, B. N. Pshenichnyi 91 On approximation by harmonic polynomials in the $C^1$-norm on compact sets in $\mathbf R^2$P. V. Paramonov 113 Spin polynomial invariants of smooth structures on algebraic surfacesA. N. Tyurin 125 Semistable 3-fold flipsV. V. Shokurov 165