Adams-type maps are not stable under composition
Algebraic Topology
2022-03-01 v1
Abstract
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 -algebras is a transfinite composition of Adams-type maps.
Keywords
Cite
@article{arxiv.2202.14004,
title = {Adams-type maps are not stable under composition},
author = {Robert Burklund and Ishan Levy and Piotr Pstrągowski},
journal= {arXiv preprint arXiv:2202.14004},
year = {2022}
}
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3 pages