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Noncommutative structures
Authors:D V Treschev
Institution:1.Steklov Institute of Mathematics,Russian Academy of Sciences,Moscow,Russia
Abstract:We propose a method for constructing noncommutative analogs of objects from classical calculus, differential geometry, topology, dynamical systems, etc. The standard (commutative) objects can be obtained from noncommutative ones by natural projections (a set of canonical homomorphisms). The approach is ideologically close to the noncommutative geometry of A. Connes but differs from it in technical details.
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