Higher associativity of Moore spectra

preprint2020arXivOpen access

Abstract

The Moore spectrum Mp(i)\mathrm{M}_p(i) is the cofiber of the pip^{i} map on the sphere spectrum. For a fixed pp and nn, we find a lower bound on ii for which Mp(i)\mathrm{M}_p(i) is guaranteed to be nn-fold associative. This bound depends on the stable homotopy groups of spheres.

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