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 Axiomatic method of partitions in the theory of Nöbeling spaces. II. Unknotting theoremS. M. Ageev 3 Special factorization of a non-invertible integral Fredholm operator of the second kind with Hilbert–Schmidt kernelG. A. Grigoryan 33 $L_1$–$L_\infty$ estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial dataS. P. Degtyarev, A. F. Tedeev 45 Partitioning of the interval $[0,1]$ induced by the Brocot sequencesA. A. Dushistova 67 Optimality of the greedy algorithm for some function classesE. D. Livshits 95 Complete involutive sets of functions on the cotangent bundles of compact solvmanifoldsM. V. Milovanov 115 Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructionsV. V. Ryzhikov 137 ErrataYu. A. Aminov 160