Literature Cited
J. Milnor, On the Steenrod Homology Theory (Mimeographed), Princeton (1960).
E. G. Sklyarenko, “Homology theory and the exactness axiom,” Usp. Matem. Nauk,24, No. 5, 87–140 (1969).
V. G. Miryuk, “Homology and cohomology of sets and their neighborhoods,” Matem. Sb.,92, No. 2, 306–318 (1973).
V. I. Kuz'minov and I. A. Shvedov, “On the homology of the limit of a spectrum of bicompacta,” Dokl. Akad. Nauk SSSR,203, No. 4, 756–757 (1972).
V. I. Kuz'minov, “On the derived functors of the projective limit functor,” Sib. Matem. Zh.,8, No. 2, 333–345 (1967).
L. Fuchs, Abelian Groups, Budapest (1958).
O. A. Laudal, “Cohomologie locale. Applications,” Math. Scand.,12, 147–162 (1963).
O. A. Laudal, “Sur les limites projectives et inductives,” Ann. Sci. Ecole Normale Super., 3e Sèrie,82, 241–296 (1965).
V. I. Kuz'minov and I. A. Shvedov,” On completions of abelian groups in p-topologies,” Algebra i Logika,9, No. 4, 436–457 (1970).
P. T. Nunke and J. J. Rotman, “Singular cohomology groups,” J. London Math. Soc.,37, No. 3, 301–306 (1962).
H. Cartan and S. Eilenberg, Homological Algebra [Russian translation], IL, Moscow (1960).
V. I. Kuz'minov and I. A. Shvedov, “Spectra of coverings in cohomology and homology theories of topological spaces,” Sib. Matem. Zh.,15, No. 5 (1974).
R. Godement, Algebraic Topology and Sheaf Theory [Russian translation], IL, Moscow (1961).
D. K. Harrison, “Infinite abelian groups and homological methods,” Ann. Math.,69, No. 2, 366–391 (1959).
A. Erenfeucht, “On a problem of J. H. C. Whitehead concerning abelian groups,” Bull. Akad. Pol. Sci. Ser. Sci. Math., Astron. et Phys.,3, No. 3, 127–128 (1959).
A. T. Lundell and S. Weingram, The Topology of CW-Complexes, New York (1959).
N. Steenrod and S. Eilenberg, Foundations of Algebraic Topology [Russian translation], IL, Moscow (1958).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 1, pp. 62–74, January–February, 1975.
Rights and permissions
About this article
Cite this article
Kuz'minov, V.I., Shvedov, I.A. Hyperhomology of limits of direct spectra of complexes and homology groups of topological spaces. Sib Math J 16, 49–58 (1975). https://doi.org/10.1007/BF00967461
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967461