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Strong homotopy algebras over monads

Part of the Lecture Notes in Mathematics book series (LNM,volume 533)

Keywords

  • Commutative Diagram
  • Natural Transformation
  • Homotopy Class
  • Homotopy Type
  • Loop Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. Beck, J. On H-spaces and infinite loop spaces, Category Theory, Homology Theory and Their Applications, III, Springer-Verlag, 1969.

    Google Scholar 

  2. Boardman, J. M. and Vogt, R. M. Homotopy-everything H-spaces, Bull. AMS., 74(1968), 1117–1122.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Boardman, J. M. and Vogt, R. M. Homotopy Invariant Algebraic structures on Topological Spaces, Springer-Verlag, 1973.

    Google Scholar 

  4. Dold, A. and Lashof, R. Principal quasifibrations and fibre homotopy equivalence of bundles, Illinois J. of Math., 3(1959), 285–305.

    MathSciNet  MATH  Google Scholar 

  5. Dold, A. and Thom, R. Quasifaserungen und unendliche symmetriche produkte, Ann. of Math., (2) 67 (1958), 239–281.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Fuchs, Martin. A modified Dold-Lashof construction that does classify H-principal fibrations, Math. Ann., 192(1971), 328–340.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. James, I. M. On H-spaces and their homotopy groups, Quart. J. Math. Oxford (2) 11(1960), 161–179.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Lada, T. and Malraison, P. Categories of triple algebras, (preprint).

    Google Scholar 

  9. May, J. P. The Geometry of Iterated Loop Spaces, Springer-Verlag, 1972.

    Google Scholar 

  10. -. E spaces, group completions, and permutative categories, London Mathematical Society Lecture Note Series 11, p. 61–94, 1974, Cambridge University Press.

    MathSciNet  MATH  Google Scholar 

  11. Milnor, J. Construction of universal bundles, I, Ann. of Math., (2) 63(1956), 272–284.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Segal, G. Categories and cohomology theories, Topology, 13(1974), 293–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Stasheff, J. D. Homotopy associativity of H-spaces I, II, Trans. Amer. Math. Soc. 108(1963), 275–292, ibid Stasheff, J. D. Homotopy associativity of H-spaces I, II, Trans. Amer. Math. Soc., 108 (1963), 292–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Stasheff, J. D. H-spaces From a Homotopy Point of View, Springer-Verlag, 1970.

    Google Scholar 

  15. Steenrod, N. A conventient category of topological spaces, Mich. Math. J., 14(1967), 133–152.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1976 Springer-Verlag

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Lada, T.J. (1976). Strong homotopy algebras over monads. In: The Homology of Iterated Loop Spaces. Lecture Notes in Mathematics, vol 533. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080469

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  • DOI: https://doi.org/10.1007/BFb0080469

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07984-2

  • Online ISBN: 978-3-540-37985-0

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