Duskin, John Williford, 1937-
Simplicial methods and the interpretation of "triple" cohomology / [electronic resource] J. Duskin. - Providence, R.I. : American Mathematical Society, 1975. - 1 online resource (v, 135 p. : ill.) - Memoirs of the American Mathematical Society, v. 163 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 163. .
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 $Z^n_}$ 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
Mode of access : World Wide Web
9781470406455 (online)
Categories (Mathematics)
Triples, Theory of.
Complexes, Semisimplicial.
Homology theory.
QA3 / .A57 no. 163
510/.8 s 512/.55
Simplicial methods and the interpretation of "triple" cohomology / [electronic resource] J. Duskin. - Providence, R.I. : American Mathematical Society, 1975. - 1 online resource (v, 135 p. : ill.) - Memoirs of the American Mathematical Society, v. 163 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 163. .
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 $Z^n_}$ 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
Mode of access : World Wide Web
9781470406455 (online)
Categories (Mathematics)
Triples, Theory of.
Complexes, Semisimplicial.
Homology theory.
QA3 / .A57 no. 163
510/.8 s 512/.55