Given a fiber bundle $F→E→B$. Suppose the associated spectral sequence convergence and $E^∞$ isomophic to $H^*(E)$ as abelian groups.
My question is when they are isomorphic as rings?Do we have any general theory to answer this?
Given a fiber bundle $F→E→B$. Suppose the associated spectral sequence convergence and $E^∞$ isomophic to $H^*(E)$ as abelian groups.
My question is when they are isomorphic as rings?Do we have any general theory to answer this?
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