$K$-theory on the category of infinite cell complexes

V. M. Buchstaber ; A. S. Mishchenko

Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 515-556.

Résumé

The main purpose of the article is to compute cohomology operations in $K$-theory $\operatorname{mod}p$ and operations from the usual cohomology theory into $K$-theory. The proposed method is based on the extension of $K$-theory to a category of infinite complexes, which makes it possible to use spectral sequences of the “bar-construction” type.

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