Adams-type maps are not stable under composition
classification
🧮 math.AT
keywords
adams-typecompositionmapsstableunderalgebrasconjecturecounterexample
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We give a simple counterexample to the plausible conjecture that Adams-type maps of ring spectra are stable under composition. We then show that over a field, this failure is quite extreme, as any map of $\mathbb{E}_{\infty}$-algebras is a transfinite composition of Adams-type maps.
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