This article is cited in 1 paper

On multiplication in a complex $K$-functor

O. V. Manturov


Abstract: A model is calculated in this paper of the geometric bundle $\varkappa\in K_C^0(X)$ stably equivalent to the product $\xi\cdot\eta$ of two given bundles $\xi,\eta\in K^1(X)$, i.e. the mapping $X\stackrel\varkappa\to BU$. The result is obtained in an explicit form.

UDC: 513.8

MSC: Primary 55F50; Secondary 55B15

Received: 28.10.1970

 English version: Mathematics of the USSR-Izvestiya, 1971, 5:3, 641–667

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