Anick's spaces and the double loops of odd primary Moore spaces

Several properties of Anick's spaces are established which give a retraction of Anick's \Omega T_\infty off \Omega^2P^{2np+1}(p^r) if r\ge2 and p\ge5. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2001-04, Vol.353 (4), p.1551-1566
Main Author: Theriault, Stephen D.
Format: Article
Language:English
Subjects:
Abstract spaces
Adjoints
Algebra
Algebraic topology
Homotopy theory
Isomorphism
Mathematical theorems
Topological spaces
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Description
Summary:Several properties of Anick's spaces are established which give a retraction of Anick's \Omega T_\infty off \Omega^2P^{2np+1}(p^r) if r\ge2 and p\ge5. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-00-02622-2