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Combinatorial description of the homotopy groups of wedge of spheres
Author(s):
Hao
Zhao;
Xiangjun
Wang
Journal:
Proc. Amer. Math. Soc.
137
(2009),
371-380.
MSC (2000):
Primary 55U10;
Secondary 55Q40
Posted:
July 30, 2008
MathSciNet review:
2439462
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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
DOI:
10.1090/S0002-9939-08-09505-1
PII:
S 0002-9939(08)09505-1
Keywords:
Simplicial set,
simplicial group,
homotopy group of sphere
Received by editor(s):
December 7, 2007
Posted:
July 30, 2008
Additional Notes:
This project is supported by NSFC, grant No. 10771105.
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2008,
American Mathematical Society
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