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Groups and spaces of loops

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Commentarii Mathematici Helvetici

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Bibliography

  1. A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. Math. 57 (1953) 115–207.

    Article  MathSciNet  Google Scholar 

  2. R. Bott andH. Samelson, On the Pontryagin product in spaces of paths, Comment. Math. Helv. 27 (1953) 320–337.

    MathSciNet  Google Scholar 

  3. S. Eilenberg andS. MacLane, Relations between homology and homotopy groups of spaces, Ann. Math.46 (1945) 486–519, 51 (1950) 514–533.

    MathSciNet  Google Scholar 

  4. S. Eilenberg and N. E. Steenrod, Foundations of algebraic topology, Princeton 1952.

  5. H. Hopf, Über die Topologie der Gruppen-Mannigfaltigkeiten und ihrer Verallgemeinerungen, Ann. Math. 42 (1941) 22–52.

    Article  MathSciNet  Google Scholar 

  6. H. Samelson, Beiträge zur Topologie der Gruppen-Mannigfaltigkeiten, Ann. Math. 42 (1941) 1091–1137.

    Article  MathSciNet  Google Scholar 

  7. H. Samelson, A connection between the Whitehead and the Pontryagin product, Amer. J. Math. 75 (1953) 744–752.

    Article  MathSciNet  Google Scholar 

  8. J. P. Serre, Homologie singulière des espaces fibrés, Applications. Ann. Math. 54 (1951) 425–505.

    MathSciNet  Google Scholar 

  9. J. P. Serre, Cohomologie modulo 2 des complexes d'Eilenberg-MacLane, Comment. Math. Helv. 27 (1953) 198–232.

    MathSciNet  Google Scholar 

  10. N. E. Steenrod, The topology of fibre bundles, Princeton 1951.

  11. H. Toda, Some relations in homotopy groups of spheres, J. Inst. Polytech., Osaka City Univ. 2 (1952) 71–80.

    MathSciNet  Google Scholar 

  12. J. H. C. Whitehead, On the homotopy type of ANR's, Bull. Amer. Math. Soc. 54 (1948) 1133–1145.

    MathSciNet  Google Scholar 

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Authors
  1. H. Samelson
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Additional information

For Professor H. Hopf on his sixtieth birthday

The work on this note was supported by a grant from the National Science Foundation.

Institute for Advanced Study

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Samelson, H. Groups and spaces of loops. Commentarii Mathematici Helvetici 28, 278–287 (1954). https://doi.org/10.1007/BF02566934

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  • DOI: https://doi.org/10.1007/BF02566934

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