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math.HO2025
Homotopy classification of closed polygonal lines
E. Alkin, O. Nikitenko, A. Skopenkov
In this text we expose basic cases of some fundamental ideas and methods of topology. Namely, of homotopy, degree, fundamental group, covering, Whitehead invariant, etc. This is do…
math.HO2025
Low rank matrix completion and realization of graphs: results and problems
S. Dzhenzher, T. Garaev, O. Nikitenko +3
The Netflix problem (from machine learning) asks the following. Given a ratings matrix in which each entry represents the rating of movie by customer , if customer $…