# An example of a fiber in fibrations whose Serre spectral sequences collapse

Czechoslovak Mathematical Journal (2005)

- Volume: 55, Issue: 4, page 997-1001
- ISSN: 0011-4642

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topYamaguchi, Toshihiro. "An example of a fiber in fibrations whose Serre spectral sequences collapse." Czechoslovak Mathematical Journal 55.4 (2005): 997-1001. <http://eudml.org/doc/31006>.

@article{Yamaguchi2005,

abstract = {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.},

author = {Yamaguchi, Toshihiro},

journal = {Czechoslovak Mathematical Journal},

keywords = {Sullivan minimal model; orientable fibration; TNCZ; negative derivation; Sullivan minimal model; orientable fibration; TNCZ; negative derivation},

language = {eng},

number = {4},

pages = {997-1001},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {An example of a fiber in fibrations whose Serre spectral sequences collapse},

url = {http://eudml.org/doc/31006},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Yamaguchi, Toshihiro

TI - An example of a fiber in fibrations whose Serre spectral sequences collapse

JO - Czechoslovak Mathematical Journal

PY - 2005

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 55

IS - 4

SP - 997

EP - 1001

AB - 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.

LA - eng

KW - Sullivan minimal model; orientable fibration; TNCZ; negative derivation; Sullivan minimal model; orientable fibration; TNCZ; negative derivation

UR - http://eudml.org/doc/31006

ER -

## References

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- 10.1007/BF02684341, Publ. I.H.E.S. 47 (1977), 269–331. (1977) Zbl0374.57002MR0646078DOI10.1007/BF02684341

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