Higher associativity of Moore spectra

The Moore spectrum Mp(i) is the cofiber of the pi map on the sphere spectrum. For a fixed p and n, we find a lower bound on i for which Mp(i) is guaranteed to be n-fold associative. This bound depends on the stable homotopy groups of spheres.

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2022-06, Vol.402, p.108319, Article 108319
Main Author: Bhattacharya, Prasit
Format: Article
Language:English
Subjects:
Higher associative structures
Moore spectra
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Summary:The Moore spectrum Mp(i) is the cofiber of the pi map on the sphere spectrum. For a fixed p and n, we find a lower bound on i for which Mp(i) is guaranteed to be n-fold associative. This bound depends on the stable homotopy groups of spheres.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2022.108319