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Obstructions for Associativity in Stable Homotopy Theory

· 2026 · math.AT · arXiv 2605.11390

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abstract

We give a construction of the obstruction theory for $\mathbb{A}_{n}$-algebra structures in stable $\infty$-categories, and give some properties of it. We use this to show that the spectrum $\mathbb{S} / 4$ admits an $\mathbb{A}_5$-multiplication using synthetic spectra.

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  • Obstructions for Associativity in Stable Homotopy Theory math.AT · 2026-05-12 · unverdicted · none · ref 5 · internal anchor

    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.