An algebraic model of fibration with the fiber $K(\pi,n)$-space

Abstract

For a fibration with the fiber $K(\pi,n)$-space, the algebraic model as a twisted tensor product of chains of the base with standard chains of $K(\pi,n)$-complex is given which preserves multiplicative structure as well. In terms of this model the action of the $n$-cohomology of the base with coefficients in $\pi$ on the homology of fibration is described.