Asymptotic behavior of metric spaces at infinity

Authors

  • V.V. Bilet Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk
  • O.A. Dovgoshey Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk

DOI:

https://doi.org/10.15407/dopovidi2017.09.009

Keywords:

asymptotic boundedness of a metric space, asymptotic finiteness of a metric space, convergence of metric spaces, strong porosity at a point

Abstract

A new sequential approach to investigations of the structure of metric spaces at infinity is proposed. Criteria for the finiteness and boundedness of metric spaces at infinity are found.

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References

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Bilet, V. & Dovgoshey, O. (2014). Boundedness of pretangent spaces to general metric spaces. Ann. Acad. Sci. Fenn., 39, No 4, pp. 73-82. https://doi.org/10.5186/aasfm.2014.3902

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Published

17.09.2024

How to Cite

Bilet, V., & Dovgoshey, O. (2024). Asymptotic behavior of metric spaces at infinity . Reports of the National Academy of Sciences of Ukraine, (9), 9–14. https://doi.org/10.15407/dopovidi2017.09.009