Steiner's theorem (geometry)

In mathematics, given a ring R, the K-theory spectrum of R is an Ω-spectrum $K_R$ whose n-th term is given by, writing $\mathrm{\Sigma }R$ for the suspension of R,

$(K_R{)}_n=K_0({\mathrm{\Sigma }}^{n}R)\times BGL({\mathrm{\Sigma }}^{n}R{)}^{+}$,

where "+" means the Quillen's + construction. By definition, $K_i(R)={\pi }_i(K_R)$.

References

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