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Hyperhomology of limits of direct spectra of complexes and homology groups of topological spaces

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Literature Cited

  1. J. Milnor, On the Steenrod Homology Theory (Mimeographed), Princeton (1960).

  2. E. G. Sklyarenko, “Homology theory and the exactness axiom,” Usp. Matem. Nauk,24, No. 5, 87–140 (1969).

    Google Scholar 

  3. V. G. Miryuk, “Homology and cohomology of sets and their neighborhoods,” Matem. Sb.,92, No. 2, 306–318 (1973).

    Google Scholar 

  4. 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).

    Google Scholar 

  5. V. I. Kuz'minov, “On the derived functors of the projective limit functor,” Sib. Matem. Zh.,8, No. 2, 333–345 (1967).

    Google Scholar 

  6. L. Fuchs, Abelian Groups, Budapest (1958).

  7. O. A. Laudal, “Cohomologie locale. Applications,” Math. Scand.,12, 147–162 (1963).

    Google Scholar 

  8. O. A. Laudal, “Sur les limites projectives et inductives,” Ann. Sci. Ecole Normale Super., 3e Sèrie,82, 241–296 (1965).

    Google Scholar 

  9. 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).

    Google Scholar 

  10. P. T. Nunke and J. J. Rotman, “Singular cohomology groups,” J. London Math. Soc.,37, No. 3, 301–306 (1962).

    Google Scholar 

  11. H. Cartan and S. Eilenberg, Homological Algebra [Russian translation], IL, Moscow (1960).

    Google Scholar 

  12. 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).

  13. R. Godement, Algebraic Topology and Sheaf Theory [Russian translation], IL, Moscow (1961).

    Google Scholar 

  14. D. K. Harrison, “Infinite abelian groups and homological methods,” Ann. Math.,69, No. 2, 366–391 (1959).

    Google Scholar 

  15. 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).

    Google Scholar 

  16. A. T. Lundell and S. Weingram, The Topology of CW-Complexes, New York (1959).

  17. N. Steenrod and S. Eilenberg, Foundations of Algebraic Topology [Russian translation], IL, Moscow (1958).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 1, pp. 62–74, January–February, 1975.

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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

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