An elementary construction of Anick's fibration

Brayton Gray, Stephen D Theriault

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


Abstract. Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Moore spaces, as well as the first author’s work on the secondary suspension, predicted the existence of a p-local fibration S2n-1 - ¿ T - ¿ ¿S2n+1 whose connecting map is degree pr. In a long and complex monograph, Anick constructed such a fibration for p = 5 and r = 1. Using new methods we give a much more conceptual construction which is also valid for p = 3 and r = 1. We go on to establish several properties of the space T. 1.

Original languageEnglish
Pages (from-to)243-276
Number of pages34
JournalGeometry & Topology
Issue number1
Publication statusPublished - 2010


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