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

2003/01/20 by Nodar Berikashvili
Mathematics · #math.AT #msc:55N10 #msc:55N45 #msc:55R20 #msc:55U99

paper · pdf

published as Georgian Mathematical Journal, v.3, 1, 1996, 27-48 · 18 pages

arxiv created 2003/01/20 · arxiv updated 2009/11/30

Abstract

For a fibration with the fiber K(π,n)-space, the algebraic model as a twisted tensor product of chains of the base with standard chains of K(π,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 π on the homology of fibration is described.

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