Adams-type maps are not stable under composition

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Standard

Adams-type maps are not stable under composition. / Burklund, Robert; Levy, Ishan; Pstragowski, Piotr.

I: Proceedings of the American Mathematical Society, Series B, Bind 9, 2022, s. 373-376.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Burklund, R, Levy, I & Pstragowski, P 2022, 'Adams-type maps are not stable under composition', Proceedings of the American Mathematical Society, Series B, bind 9, s. 373-376. https://doi.org/10.1090/bproc/137

APA

Burklund, R., Levy, I., & Pstragowski, P. (2022). Adams-type maps are not stable under composition. Proceedings of the American Mathematical Society, Series B, 9, 373-376. https://doi.org/10.1090/bproc/137

Vancouver

Burklund R, Levy I, Pstragowski P. Adams-type maps are not stable under composition. Proceedings of the American Mathematical Society, Series B. 2022;9:373-376. https://doi.org/10.1090/bproc/137

Author

Burklund, Robert ; Levy, Ishan ; Pstragowski, Piotr. / Adams-type maps are not stable under composition. I: Proceedings of the American Mathematical Society, Series B. 2022 ; Bind 9. s. 373-376.

Bibtex

@article{188cc68a84f648f4b9747ab616d32f9e,
title = "Adams-type maps are not stable under composition",
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 to an E∞-k-algebra is a transfinite composition of Adams-type maps.",
author = "Robert Burklund and Ishan Levy and Piotr Pstragowski",
note = "Publisher Copyright: {\textcopyright} 2022 by the author(s).",
year = "2022",
doi = "10.1090/bproc/137",
language = "English",
volume = "9",
pages = "373--376",
journal = "Proceedings of the American Mathematical Society, Series B",
issn = "2330-1511",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - Adams-type maps are not stable under composition

AU - Burklund, Robert

AU - Levy, Ishan

AU - Pstragowski, Piotr

N1 - Publisher Copyright: © 2022 by the author(s).

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85140587030&partnerID=8YFLogxK

U2 - 10.1090/bproc/137

DO - 10.1090/bproc/137

M3 - Journal article

AN - SCOPUS:85140587030

VL - 9

SP - 373

EP - 376

JO - Proceedings of the American Mathematical Society, Series B

JF - Proceedings of the American Mathematical Society, Series B

SN - 2330-1511

ER -

ID: 324815917