Zusammenfassung
We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, that is, ring spectra. Using an explicit nilpotence bound on the torsion elements in notation notation-algebras over notation, we reduce the conjecture to the nilpotence theorem of Devinatz, Hopkins, and Smith. As corollaries, we obtain nilpotence results in various bordism rings ...
Zusammenfassung
We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, that is, ring spectra. Using an explicit nilpotence bound on the torsion elements in notation notation-algebras over notation, we reduce the conjecture to the nilpotence theorem of Devinatz, Hopkins, and Smith. As corollaries, we obtain nilpotence results in various bordism rings including and, results about the behavior of the Adams spectral sequence for-ring spectra, and the non-existence of-ring structures on certain complex-oriented ring spectra.
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