Geodesic
An example of a fiber in fibrations whose Serre spectral sequences collapse
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 997-1001 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give an example of a space $X$ with the property that every orientable fibration with the fiber $X$ is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of $X$ of negative degree.
We give an example of a space $X$ with the property that every orientable fibration with the fiber $X$ is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of $X$ of negative degree.
Classification : 55P62, 55R05, 55T10
Keywords: Sullivan minimal model; orientable fibration; TNCZ; negative derivation 
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     author = {Yamaguchi, Toshihiro},
     title = {An example of a fiber in fibrations whose {Serre} spectral sequences collapse},
     journal = {Czechoslovak Mathematical Journal},
     pages = {997--1001},
     year = {2005},
     volume = {55},
     number = {4},
     mrnumber = {2184380},
     zbl = {1081.55010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a15/}
}
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Yamaguchi, Toshihiro. An example of a fiber in fibrations whose Serre spectral sequences collapse. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 997-1001. http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a15/