Higher associativity of Moore spectra

Prasit Bhattacharya

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arXiv · 1607.02702

Higher associativity of Moore spectra

Prasit Bhattacharya

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Abstract

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

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BibTeX RIS

Prasit Bhattacharya. 2016-07-10. Higher associativity of Moore spectra. https://arxiv.org/abs/1607.02702

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