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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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differential form of charge for pi_4(S^3) or pi_4(S^2)

How to write a 4-form of topological charge which would correspond to non-zero element of the homotopy group $\pi_4(S^3)$ or $\pi_4(S^2)$ (both are equal to $Z_2$) ? ? An example of such a mapping (n …