Adams-type maps are not stable under composition

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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 to an E-k-algebra is a transfinite composition of Adams-type maps.

Original languageEnglish
JournalProceedings of the American Mathematical Society, Series B
Volume9
Pages (from-to)373-376
DOIs
Publication statusPublished - 2022

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