Abstract
For typical complexes, hyperhomology and its two natural filtrations are given an intrinsic description independent of the hyperhomology apparatus.
Similar content being viewed by others
References
H. Cartan and S. Eilenberg,Homological algebra, Princeton Univ. Press, Princeton (1956).
G. E. Bredon,Sheaf theory, McGraw-Hill, New York (1967).
R. Godement,Topologie algébrique et théorie des faisceaux, Hermann, Paris (1958).
C. U. Jensen, “Les foncteurs dérivés de\(\underleftarrow {\lim }\) et leurs applications en théorie des modules,”Lect. Notes in Math.,254 (1972).
E. G. Skylarenko, “On the nature of homological multiplications and duality,”Russian Math. Surveys,49, No. 1, 141–198 (1994).
S. Eilenberg and N. Steenrod,Foundation of algebraic topology, Princeton Univ. Press, Princeton, New Jersey (1952).
A. Grothendieck, “Sur quelques points d'algèbre homologique,”Tôhoku Math. J.,9, 119–211 (1957).
E. G. Sklyarenko, “On the Zeeman filtration in homology,”Mat. Sb., [Russian Acad. Sci. Sb. Math.],183, No. 12, 103–116 (1992).
J. E. Roos, “Sur les foncteurs dérivés de\(\underleftarrow {\lim }\). Applications,”C. R. Acad. Sci. Paris 252, 3702–3704 (1961).
E. G. Sklyarenko, “Hyper(co)homology for left-exact covariant functors and the homology theory of topological spaces,”Russian Math. Surveys,50, No. 3, 109–146 (1995).
E. C. Zeeman, “Dihomology. III. A generalization of the Poincaré duality for manifolds,”Proc. London Math. Soc.,13, No. 49, 155–183 (1963).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 578–582, April, 1997.
Translated by O. V. Sipacheva
Translated by O. V. Sipacheva
Rights and permissions
About this article
Cite this article
Sklyarenko, E.G. Filtrations in hyperhomology. Math Notes 61, 480–483 (1997). https://doi.org/10.1007/BF02354992
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02354992