Anick's Spaces and the double Loops of Odd Primary Moore spaces

Stephen D Theriault

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Abstract

Several properties of Anick's spaces are established which give a retraction of Anick's OmegaT(infinity) off Omega (2) P2np+1 (p(r)) if r greater than or equal to 2 and p greater than or equal to 5. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.

Original languageEnglish
Pages (from-to)1551-1566
Number of pages15
JournalTransactions of the American Mathematical Society
Volume353
DOIs
Publication statusPublished - 2001

Keywords

  • loop space decomposition
  • Hopf invariant
  • HOMOTOPY-GROUPS
  • SUSPENSION
  • TORSION

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