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An example of a fiber in fibrations whose Serre spectral sequences collapse. (English) Zbl 1081.55010

Summary: We give an example of a space \(X\) with the property that every orientable fibration with fiber \(X\) is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of \(X\) of negative degree.

MSC:

55P62 Rational homotopy theory
55R05 Fiber spaces in algebraic topology

References:

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