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On Toda's fibrations

Published online by Cambridge University Press:  24 October 2008

Brayton Gray
Brayton Gray
Affiliation:
Department of Mathematics, University of Illinois at Chicago
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Extract

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].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 289 - 298
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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