On $[X, U(n)]$ when $\mathrm{dim} X$ is $2n+1$
Hamanaka, Hiroaki
J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 655-667 / Harvested from Project Euclid
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In this paper we investigate the homotopy set $[X,U(n)]$, where $X$ is a finite CW-complex with its dimension $2n + 1$ and $U(n)$ is the unitary group. This homotopy set has the group structure and can be described as a central extension using ordinary cohomology and $K$-theory.
Publié le : 2004-05-15
Classification:  55N15,  55P10,  55Q05 
@article{1250283088,
     author = {Hamanaka, Hiroaki},
     title = {On $[X, U(n)]$ when $\mathrm{dim} X$ is $2n+1$},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 655-667},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283088}
}

Hamanaka, Hiroaki. On $[X, U(n)]$ when $\mathrm{dim} X$ is $2n+1$. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  655-667. http://gdmltest.u-ga.fr/item/1250283088/