Skip to main content
Log in

Extension of continuous maps and the factorization theorem

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. V. J. Moncuso, “n-ANR's for certain normal spaces,” Canad. J. Math.,19, No. 3, 629–635 (1967).

    Google Scholar 

  2. M. Katetov, “Dimensionality of nonseparable spaces II,” Czechosl. Math. J.,6(81), 485–516 (1956).

    Google Scholar 

  3. O. Hanner, “Solid spaces and absolute retracts,” Ark. Mat.,1, 375–382 (1951).

    Google Scholar 

  4. C. H. Dowker, “On a theorem of Hanner,” Ark. Mat.,2, 307–313 (1952).

    Google Scholar 

  5. B. A. Pasynkov, “Universal bicompact and metric spaces of a given dimension,” Fun. Math.,60, No. 3, 285–308 (1967).

    Google Scholar 

  6. A. V. Arkhangel'skii, “Class of spaces containing all metric and all locally-bicompact spaces,” Matem. Sb.,67(109), No. 1, 55–88 (1965).

    Google Scholar 

  7. K. Morita, “Products of normal spaces with metric spaces,” Math. Ann.,154, 365–388 (1964).

    Google Scholar 

  8. O. Hanner, “Mappings of metric and nonmetric spaces,” Ark. Mat.,2, 315–360 (1952).

    Google Scholar 

  9. J. Dugundji, “An extension of Tietze's theorem,” Pacif. J. Math.,1, 353–367 (1951).

    Google Scholar 

  10. R. H. Bing, “Metrization of topological spaces,” Canad. J. Math.,3, 175–194 (1951).

    Google Scholar 

  11. Yu. M. Smirnov, “Strongly-paracompact spaces,” Izv. Akad. Nauk SSSR,20, 253–274 (1956).

    Google Scholar 

  12. E. Michael, “Some extension theorems for continuous functions,” Pacif. J. Math.,3, 789–806 (1953).

    Google Scholar 

  13. B. H. McCandless, “On a theorem of Hanner and Dowker,” Port. Math.,26, No. 4, 479–482 (1967).

    Google Scholar 

  14. Y. Kodama, “On LCn metric spaces,” Proc. Jap. Acad.,33, 79–83 (1957).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 1, pp. 128–139, January–February, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lisitsa, Y.T. Extension of continuous maps and the factorization theorem. Sib Math J 14, 90–96 (1973). https://doi.org/10.1007/BF00967268

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967268

Keywords

Navigation