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An algebraic model of fibration with the fiber $$K(\pi,\;n)$$-space. (English) Zbl 0920.55017
Summary: For a fibration with the fiber a $$K(\pi,n)$$-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 the fibration is described.

##### MSC:
 55R20 Spectral sequences and homology of fiber spaces in algebraic topology 55N10 Singular homology and cohomology theory 55N45 Products and intersections in homology and cohomology 55U99 Applied homological algebra and category theory in algebraic topology
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