Algebra structures on the twisted eilenberg-zilber theorem

Communications in Algebra

Volumn 35, Issue 11, 2007, Pages 3273-3291

  Alvarez V ^a   Armario, J A ^a   Frau, M D ^a   Real, P ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Contraction; Eilenberg Zilber theorem; Homological perturbation lemma; Simplicial groups; Twisted cartesian product

Indexed keywords

EID: 35449003136     PISSN: 00927872     EISSN: 15324125     Source Type: Journal    
DOI: 10.1080/00914030701410369     Document Type: Article

References (15)

1. Brown, E. H. (1959). Twisted tensor products. Ann. Math. 69:223-242.
2. Brown, R. (1967). The twisted Eilenberg-Zilber theorem. Celebrazioni Archimedee del secolo XX. Simposio di topologia pp. 34-37.
3. Eilenberg, S., Mac Lane, S. (1953). On the groups H(π, n), I. Ann. Math. 58:55-106.
4. Eilenberg, S., Mac Lane, S. (1954). On the groups H(π, n), II Ann. Math. 66:49-149.
5. Eilenberg, S., Zilber, J. A. (1953). On products of complexes. Am. J. Math. 75:200-204.
6. Gugenheim, V. K. A. M., Lambe, L. A. (1989). Perturbation theory in differential homological algebra I. Illinois J. Math. 33(4):566-582.
7. Gugenheim, V. K. A. M., Lambe, L. A., Stasheff, J. D. (1991). Perturbation theory in differential homological algebra II. Illinois J. Math. 35(3):357-373.
8. Huebschmann, J., Kadeishvili, T. (1991). Small models for chain algebras. Math. Z. 209:245-280.
9. Kadeishvili, T., Saneblidze, S. (2005). A cubical model for a fibration. J. Pure Appl. Algebra 196:203-228.
10. Lambe, L. A., Stasheff, J. D. (1987). Applications of perturbation theory to iterated fibrations. Manuscripta Math. 58:367-376.
11. Mac Lane, S. (1995). Homology. Classics in Mathematics. Berlin: Springer-Verlag. Reprint of the 1975 edition.
12. May, J. P. (1967). Simplicial Objects in Algebraic Topology. Princenton: Van Nostrad.
13. Real, P. (2000). Homological perturbation theory and associativity. Homology, Homotopy, and Applications 2:51-88.
14. Shih, W. (1962). Homologie des espaces fibrés. Inst. Hautes Etudes Sci. 13:93-176.
15. Szcsarba, R. H. (1961). Homology of twisted cartesian products. Trans. Amer. Math. Soc. 100:197-216.