The real K-ring of some CW-complexes of small dimension. (English) Zbl 0665.55001

Markl, Martin

Czech. Math. J. 38(113), No. 3, 450-455 (1988).

In 1981, L. M. Woodward in Proc. R. Soc. Edinb., Sect. A 92, 175- 179 (1982; Zbl 0505.55017) classified the stable classes of orientable vector bundles over CW-complexes of small dimension. Using his results and some algebraic arguments, we describe the real K-ring of some CW- complexes of dimension \(\leq 7\) in terms of cohomology and characteristic classes. We also show that our description can be really used for explicit calculation of K-rings.

MSC:

55N15	Topological \(K\)-theory
55R50	Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory

Keywords:

K-ring of CW-complexes of dimension \(\leq 7\); cohomology; characteristic classes

Citations:

Zbl 0505.55017

References:

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