Decompositions of looped co-$H$-spaces
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- by J. Grbić, S. Theriault and J. Wu PDF
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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.References
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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