Skip to main content
SpringerLink
Log in

Finite-to-one mappings of topological space and cohomology manifolds

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. R. Godement, Algebraic Topology and the Theory of Sheaves [Russian translation], IL, Moscow (1961).

    Google Scholar 

  2. A. Grothendieck, Éléments de Géométrie Algébrique. I. Publ. Math. IHES. No. 4 (1960).

  3. D. M. Kan, “Adjoint functors,” Trans. Amer. Math. Soc.,87, 294–329 (1958).

    Google Scholar 

  4. A. Grothendieck, Certain Aspects of Homology Algebra [Russian translation], IL, Moscow (1961).

    Google Scholar 

  5. A. Grothendieck, Éléments de Géométrie Algébrique. III. Publ. Math. IHES. No. 11 (1963).

  6. S. Maclane, Homology [Russian translation], Izd. Mir, Moscow (1966).

    Google Scholar 

  7. A. V. Chernavskii, “Finite-to-one open mappings of manifolds,” Matem. Sb.,65, 357–369 (1964).

    Google Scholar 

  8. A. V. Chernavskii, “Finite-to-one open mappings of manifolds,” Doklady AN SSSR,151, No. 1, 69–72 (1963).

    Google Scholar 

  9. A. Borel, “Seminar on transformation groups,” Ann. Math. Studies. No. 46. Princeton (1960).

  10. E. G. Sklyarenko, “Theorem on mappings which lower dimension,” Byull. Pol'sk. Akad. Nauk.10, No. 8, 429–432 (1962).

    Google Scholar 

  11. A. V. Zarelua, “The equality of dimensions,” Matem. Sb.,62, 295–319 (1963).

    Google Scholar 

  12. K. Morita, “On closed mappings and dimension,” Proc. Japan Acad.,32, 161–165 (1956).

    Google Scholar 

  13. Yu. M. Smirnov, “Certain relations in dimension theory,” Matem. Sb.,29, 157–172 (1951).

    Google Scholar 

  14. K. Nagami, “Some theorems in dimension theory for nonseparable spaces,” J. Math. Soc. Japan,9, No. 1, 80–92 (1957).

    Google Scholar 

  15. I. Nagata, “A generalization of a theorem of Jurewicz,” J. Inst. Polytechn. Osaka City Univ., Ser. A,9, 37–38 (1958).

    Google Scholar 

  16. A. V. Zarelua, “Finite-to-one mappings,” Doklady AN SSSR,172, No. 4, 775–778 (1967).

    Google Scholar 

  17. K. Morita, “On the dimension of normal spaces. II,” Japan J. Math,20, 5–36 (1950).

    Google Scholar 

  18. A. V. Zarelua, “On a theorem of Gurevich,” Matem. Sb.,60, 17–28 (1963).

    Google Scholar 

Download references

Authors
  1. A. V. Zarelua
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal. Vol. 10. No. 1. pp. 64–92. January–February, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zarelua, A.V. Finite-to-one mappings of topological space and cohomology manifolds. Sib Math J 10, 45–63 (1969). https://doi.org/10.1007/BF01208407

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01208407

Keywords

Search

Navigation