Combinatorial description of the homotopy groups of wedge of spheres
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- by Hao Zhao and Xiangjun Wang PDF
- Proc. Amer. Math. Soc. 137 (2009), 371-380 Request permission
Abstract:
In this paper, we give a combinatorial description of the homotopy groups of a wedge of spheres. This result generalizes that of J. Wu on the homotopy groups of a wedge of 2-spheres. In particular, the higher homotopy groups of spheres are given as the centers of certain combinatorially described groups with special generators and relations.References
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Additional Information
- Hao Zhao
- Affiliation: School of Mathematical Sciences, Nankai University, Tianjin 300071, People’s Republic of China
- Address at time of publication: School of Mathematics, The University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
- Email: Hao.Zhao@manchester.ac.uk
- Xiangjun Wang
- Affiliation: School of Mathematical Sciences, Nankai University, Tianjin 300071, People’s Republic of China
- Email: xjwang@nankai.edu.cn
- Received by editor(s): December 7, 2007
- Published electronically: July 30, 2008
- Additional Notes: This project is supported by NSFC, grant No. 10771105.
- Communicated by: Paul Goerss
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 371-380
- MSC (2000): Primary 55U10; Secondary 55Q40
- DOI: https://doi.org/10.1090/S0002-9939-08-09505-1
- MathSciNet review: 2439462