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Spectra of coverings in the homology and the cohomology theories of topological spaces

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Literature Cited

  1. A. Dold, “Zur Homotopietheorie der Kettenhomplexe,” Math. Ann.,140, 278–298 (1960).

    Google Scholar 

  2. J. Milnor, On the Steenrod Homology Theory, Princeton (1960) [mimeographed].

  3. V. I. Kyz'minov and I. A. Shvedov, “Quasiexact sequences of complex and hyperhomologies,” Sibirsk. Matem. Zh.,14, No. 4, 791–805 (1973).

    Google Scholar 

  4. Kh. N. Inasaridze, “On an exact homology,” Proceedings of the Tbilis Mathematics Institute,41, 128–142 (1972).

    Google Scholar 

  5. A. Borel and J. C. Moore, “Homology theory for locally compact spaces,” Mich. Math. J.,7, 137–160 (1960).

    Google Scholar 

  6. V. I. Kuz'minov and I. A. Shvedov, “On the homologies generated by cohomology functors,” Dokl. Akad. Nauk SSSR,200, No. 4, 764–766 (1971).

    Google Scholar 

  7. A. Grothendiek, On Some Problems of the Homological Algebra [Russian translation], Inostrannoi Literatura, Moscow (1961).

    Google Scholar 

  8. G. Nöbeling, Cohomologie-Moduln über Abelschen Halbgruppen, Bonner Mathematische Schriften, Vol. 12, Bonn (1960).

  9. R. Deheuvels, “Homologie des ensembles ordoneés et espaces topologiques,” Bull. Soc. Math. France,90, No. 2, 261–321 (1962).

    Google Scholar 

  10. L. Kaup and M. S. Keane, “Inductive Limiten endlich erzeugter freier Moduln,” Manuscr. Math.,1, No. 1, 9–21 (1969).

    Google Scholar 

  11. P. S. Aleksandrov, “A general homology theory,” Uchenye Zapiski Novosibirskogo Gosudarstvennogo Universiteta, No. 5, 3–60 (1940).

    Google Scholar 

  12. R. Godement, Algebraic Topology and Sheaf Theory [Russian translation], Inostrannoi Literatura, Moscow (1961).

    Google Scholar 

  13. N. Steenrod and S. Eilenberg, Foundations of Algebraic Topology, Princeton Univ. Press, Princeton (1952).

    Google Scholar 

  14. G. S. Chogoshvili, “On the equivalence of the functional and the spectral homology theories,” Izv. Akad. Nauk SSSR, Seriya Matem.,15, 421–438 (1951).

    Google Scholar 

  15. S. Lefschetz, Algebraic Topology, American Math. Soc., Providence (1942).

    Google Scholar 

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

    Google Scholar 

  17. L. D. Mdzinarishvili, “On the equivalence of the Kolmogorov and the Steenrod homology theories,” Proceedings of the Tbilis Mathematics Institute,41, 143–163 (1973).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 5, pp. 1083–1102, September–October, 1974.

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Kuz'minov, V.I., Shvedov, I.A. Spectra of coverings in the homology and the cohomology theories of topological spaces. Sib Math J 15, 763–775 (1974). https://doi.org/10.1007/BF00966436

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  • DOI: https://doi.org/10.1007/BF00966436

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