A flat chain with π_p(N) coefficients vanishes if and only if a W^{1,p} map in the weak sequential closure of smooth maps is locally strongly approximable by smooth maps, under a trivial action condition on the target manifold.
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Topological singular set of manifold-valued maps weakly approximable by smooth maps
A flat chain with π_p(N) coefficients vanishes if and only if a W^{1,p} map in the weak sequential closure of smooth maps is locally strongly approximable by smooth maps, under a trivial action condition on the target manifold.