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math.AT2000
Stasheff structures and differentials of the Adams spectral sequence
V. A. Smirnov
The Adams spectral sequence was invented by J.F.Adams almost fifty years ago for calculations of stable homotopy groups of topological spaces and in particular of spheres. The calc…
math.AT2000
The homology of iterated loop spaces
V. A. Smirnov
The singular chain complex of the iterated loop space is expressed in terms of the cobar construction. After that we consider the spectral sequence of the cobar construction and ca…