Mathew, Akhil and Naumann, Niko and Noel, Justin (2015) On a nilpotence conjecture of J. P. May. JOURNAL OF TOPOLOGY, 8 (4). pp. 917-932. ISSN 1753-8416, 1753-8424
Full text not available from this repository. (Request a copy)Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COBORDISM RING; HOMOTOPY; LOCALIZATION; RESPECT; SPECTRA; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 May 2019 11:48 |
| Last Modified: | 03 May 2019 11:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4379 |
Actions (login required)
 |
View Item |
