K(pin)-Torsors and the Interpretation of "Triple" Cohomology.
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.
Duskin
J
J
Department of Mathematics, State University of New York at Buffalo, N.Y. 14214.