An obstruction theory for A_n-algebras in stable ∞-categories is constructed, and S/4 is shown to admit an A_5-multiplication via synthetic spectra.
In this section, we construct a stable symmetric monoidal∞-category, classifying maps from strict elements to the unit
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Obstructions for Associativity in Stable Homotopy Theory
An obstruction theory for A_n-algebras in stable ∞-categories is constructed, and S/4 is shown to admit an A_5-multiplication via synthetic spectra.