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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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Decompositions of looped co-$H$-spaces
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by J. Grbić, S. Theriault and J. Wu PDF
Proc. Amer. Math. Soc. 141 (2013), 1451-1464 Request permission

Abstract:

We prove two homotopy decomposition theorems for the loops on simply-connected co-$H$-spaces, including a generalization of the Hilton-Milnor Theorem. Several examples are given.
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Additional Information
  • J. Grbić
  • Affiliation: School of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom
  • Email: jelena.grbic@manchester.ac.uk
  • S. Theriault
  • Affiliation: Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
  • MR Author ID: 652604
  • Email: s.theriault@maths.abdn.ac.uk
  • J. Wu
  • Affiliation: Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore
  • Email: matwujie@math.nus.edu.sg
  • Received by editor(s): March 1, 2011
  • Received by editor(s) in revised form: June 17, 2011, June 24, 2011, July 12, 2011, and August 23, 2011
  • Published electronically: September 14, 2012
  • Additional Notes: The first author’s research was supported in part by EPSRC grant EP/F004079/1.
    The third author’s research was supported in part by the Academic Research Fund of the National University of Singapore.
  • Communicated by: Brooke Shipley
  • © Copyright 2012 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1451-1464
  • MSC (2010): Primary 55P35, 55P45; Secondary 05E05, 20C20, 52C35
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11417-0
  • MathSciNet review: 3008891