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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On stability of non-domination under taking products
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by D. Kotschick, C. Löh and C. Neofytidis
Proc. Amer. Math. Soc. 144 (2016), 2705-2710
DOI: https://doi.org/10.1090/proc/13043
Published electronically: January 27, 2016

Abstract:

We show that non-domination results for targets that are not dominated by products are stable under Cartesian products.
References
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Bibliographic Information
  • D. Kotschick
  • Affiliation: Mathematisches Institut, \smaller LMU München, Theresienstr. 39, 80333 München, Germany
  • MR Author ID: 267229
  • Email: dieter@member.ams.org
  • C. Löh
  • Affiliation: Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
  • MR Author ID: 780073
  • ORCID: 0000-0003-0228-2585
  • Email: clara.loeh@mathematik.uni-regensburg.de
  • C. Neofytidis
  • Affiliation: Department of Mathematical Sciences, \smaller SUNY Binghamton, Binghamton, New York 13902-6000
  • MR Author ID: 1020114
  • Email: chrisneo@math.binghamton.edu
  • Received by editor(s): July 6, 2015
  • Published electronically: January 27, 2016
  • Additional Notes: The first author is grateful to M. Gromov for a long discussion several years ago, which inspired this note
    The second author was supported by the CRC 1085 Higher Invariants (Universität Regensburg, funded by the DFG)
    The third author is grateful to S. Wang for useful conversations
  • Communicated by: Martin Scharlemann
  • © Copyright 2016 D. Kotschick, C. Löh, and C. Neofytidis
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 2705-2710
  • MSC (2010): Primary 57N65, 55M25
  • DOI: https://doi.org/10.1090/proc/13043
  • MathSciNet review: 3477088