Skip to main content
Log in

Estimates of the dimension (m, n)-dim

  • Published:
Moscow University Mathematics Bulletin Aims and scope

Abstract

The dimension (m,n)-dim is estimated by means of the Lebesgue dimension.

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.

Similar content being viewed by others

References

  1. V. V. Fedorchuk, “C-Spaces and Matrix of Infinite-Dimensionality,” Topol. Appl. 157(17), 2622 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  2. W. E. Haver, “A Covering Property for Metric Spaces,” in Topology Conference. Virginia Polytechnic Institute and State University, March 22–24, 1973, Ed. by R. F. Dickman Jr., P. Fletcher (Springer, Berlin, Heidelberg, 1974), Lect. Notes Math. 375, pp. 108–113.

    Google Scholar 

  3. D. F. Addis and J. H. Gresham, “A Class of Infinite-Dimensional Spaces. I. Dimension Theory and Alexandroff’s Problem,” Fund. Math. 101(3), 195 (1978).

    MathSciNet  MATH  Google Scholar 

  4. V. V. Fedorchuk, “Finite Dimensions Defined by Means of m-Coverings,” J. Egypt. Math. Soc. 64(4), 347 (2012).

    MathSciNet  Google Scholar 

  5. P. S. Aleksandrov and B. A. Pasynkov, Introduction to Dimension Theory (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  6. K. Morita, “On the Dimension of Product Spaces,” Amer. J. Math. 75(2), 205 (1953).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.V. Fedorchuk, 2013, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2013, Vol. 67, No. 4, pp. 3–7.

About this article

Cite this article

Fedorchuk, V.V. Estimates of the dimension (m, n)-dim. Moscow Univ. Math. Bull. 68, 177–181 (2013). https://doi.org/10.3103/S0027132213040013

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027132213040013

Navigation