Abstract

A categorical, semi-simplicial interpretation theory for "triple" cohomology is outlined which uses the groups TORS(U) (n)[X;pi] of connected components of certain categories of K(pi,n)-torsors (higher dimensional generalizations of locally trivial principal fiber bundles) to interpret the cohomology groups, i.e., TORS(U) (n)[X;pi] [unk] H(n)(X;pi), n >/= 1.

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