Homologie Singuliere Des Espaces Fibres

@article{Serre1951HomologieSD,
  title={Homologie Singuliere Des Espaces Fibres},
  author={Jean-Pierre Serre},
  journal={Annals of Mathematics},
  year={1951},
  volume={54},
  pages={425}
}

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References

SHOWING 1-10 OF 12 REFERENCES

Homology With Local Coefficients

In a recent paper [16] the author has had occasion to introduce and use what he believed to be a new type of homology theory, and he named it homology with local coefficients. It proved to be the

Zur Homologletheorie der Abbildungen und Faserungen von Mannigfaltigkeiten

Nutzungsbedingungen Mit dem Zugriff auf den vorliegenden Inhalt gelten die Nutzungsbedingungen als akzeptiert. Die angebotenen Dokumente stehen für nicht-kommerzielle Zwecke in Lehre, Forschung und

The Calculus of Variations in the Large

The fixed end point problem in non-parametric form General end conditions The index form Self-adjoint systems The functional on a Riemannian space The critical sets of functions The boundary problem

Cohomology theory of abelian groups and homotopy theory I.

  • S. EilenbergS. Maclane
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1950

The Homology Structure of Sphere Bundles.

  • S. ChernE. Spanier
  • Biology
    Proceedings of the National Academy of Sciences of the United States of America
  • 1950
Zygotes of C. Reinhardi may produce eight instead of four cells, and the number of zygotes producing eight cells is greater in old than in recently ripened ones, which is not correlated with sexuality.

Beitrdge zur Topologie der Deformationen

  • Neder. Akad. Wetensch, I,
  • 1935

KOSZUL. Sur les operateurs de derivation dans un anneau

  • C. R. Acad. Sci. Paris,
  • 1947