TY - BOOK AU - Duskin,John Williford TI - Simplicial methods and the interpretation of "triple" cohomology T2 - Memoirs of the American Mathematical Society, SN - 9781470406455 (online) AV - QA3 .A57 no. 163 U1 - 510/.8 s512/.55 PY - 1975/// CY - Providence, R.I. PB - American Mathematical Society KW - Categories (Mathematics) KW - Triples, Theory of KW - Complexes, Semisimplicial KW - Homology theory N1 - Bibliography: p. 132-135; Introduction; 0. Simplicial objects in categories; 1. Simplicial and cotriple cohomology; 2. $U$-split augmented complexes and the standard resolution; 3. Homotopy representability of simplicial and cotriple cohomology - the Eilenberg-Mac Lane complexes $K(\Pi ,n)$; 4. $K(\Pi ,n)$-torsors; 5. The characteristic cocycle mapping $Z^n_{\mathbb {G}}$; 6. Standard $K(\Pi ,n)$-torsor defined by an $n$-cocycle; 7. The interpretation adjunctions; 8. The interpretation bijections (first conclusions); Appendix. Triples, algebras, and tripleability; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0163 UR - http://dx.doi.org/10.1090/memo/0163 ER -