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On the homology of certain spaces looped beyond their connectivity

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Abstract

Very little is known aboutH *(Ωn X) whenn is larger than the connectivity ofX. In this paper we calculate this whenX=Ω∞ S ∞ andn=1 or 2, and whenX=JU(q) or JSO(3) andn is arbitrary. Some information is also given whenX is a sphere.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, 40506, Lexington, KY, USA

    F. R. Cohen

  2. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    F. P. Peterson

Authors
  1. F. R. Cohen
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  2. F. P. Peterson
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The authors were partially supported by the NSF.

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Cohen, F.R., Peterson, F.P. On the homology of certain spaces looped beyond their connectivity. Israel J. Math. 66, 105–131 (1989). https://doi.org/10.1007/BF02765887

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  • DOI: https://doi.org/10.1007/BF02765887

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