Abstract
In 1956 Toda [5] introduced two fibrations localized at p > 2:where is a subcomplex of the James construction . The construction of H′ was somewhat difficult and was discussed by Moore (see [3]). Moore's definition however is not natural (in the sense of Theorem 1 (b) below). It is our purpose to give another definition, closer to Toda's original definition, which is natural, is an H map* and behaves well with respect to the Dyer-Lashof map λ: BΣp → Q(So). We use this to settle an unanswered question in [2].
Publisher
Cambridge University Press (CUP)
Cited by
15 articles.
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1. Anick's space and Hopf invariants;Topology and its Applications;2015-12
2. A conjecture of Gray and the -th power map on Ω²^{2+1};Proceedings of the American Mathematical Society;2014-02-27
3. A new proof of the odd primary homotopy exponent of spheres;Manuscripta Mathematica;2011-11-15
4. The odd primary $H$-structure of low rank Lie groups and its application to exponents;Transactions of the American Mathematical Society;2007-09-01
5. On decompositions in homotopy theory;Transactions of the American Mathematical Society;2005-12-20