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

Mathematics – Algebraic Topology

Scientific paper

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18 pages

Scientific paper

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.

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