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Some properties of the loop homology of commutative coalgebras

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Part of the Lecture Notes in Mathematics book series (LNM,volume 168)

Keywords

  • Hopf Algebra
  • Commutative Diagram
  • Spectral Sequence
  • Short Exact Sequence
  • Preceding Theorem

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References

  1. Adams, J. F., On the cobar construction, Proc. Nat. Acad. Sci. U.S.A. 42, 409–412 (1956).

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  2. Eilenberg, S., and Moore, J. C., Homology and fibrations I, Coalgebras, cotensor product and its derived functors, Commentarii Mathematici Helvetici 40, 199–236 (1966).

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  3. Gugenheim, V. K. A. M., On the chain complex of a fibration, to appear.

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  4. Moore, J. C., and Smith, L., Hopf algebras and multiplicative fibrations I, American Journal of Mathematics 90, 752–780 (1968).

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  5. Moore, J. C., and Smith, L., Hopf algebras and multiplicative fibrations II, American Journal of Mathematics 90, 1113–1150 (1968).

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  6. Quillen, D., Rational homotopy theory, Annals of Mathematics 90, 205–295 (1969).

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© 1970 Springer-Verlag

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Moore, J.C. (1970). Some properties of the loop homology of commutative coalgebras. In: Peterson, F.P. (eds) The Steenrod Algebra and Its Applications: A Conference to Celebrate N.E. Steenrod's Sixtieth Birthday. Lecture Notes in Mathematics, vol 168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058525

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  • DOI: https://doi.org/10.1007/BFb0058525

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05300-2

  • Online ISBN: 978-3-540-36437-5

  • eBook Packages: Springer Book Archive