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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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Serre Spectral Sequence and Cohomology Ring of Circle Bundles

I have the following (maybe simple) question about the cup product structure in the Serre spectral sequence. Consider a fiber bundle $S^1 \rightarrow E \rightarrow B$ with euler class $e \in H^2(B)$. …
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