CONVERGENCE OF SEQUENCES IN (3, j, ρ)-N-METRIZABLE SPACES, j ∈ {1, 2}

Authors

  • Tomi Dimovski Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Dončo Dimovski Ss. Cyril and Methodius University in Skopje image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil18100021d

Abstract

In this paper we consider \((3,j,\rho)\)-N-metrizable spaces, \(j \in \{1,2\}\), in terms of convergence of sequences. We define four types of convergence in these spaces. We give examples which show that in general these four types of convergence are not equivalent in \((3,1,\rho)\)-N-metrizable spaces. We show that in \((3,2)\)-N-metrizable spaces these four types of convergence are equivalent.

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Published

2018-01-01

Issue

Vol. 42 No. 1 (2018): 42 (LXVIII) 1 (2018)

Section

Articles

License

Copyright (c) 2018 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
T. Dimovski and D. Dimovski, “CONVERGENCE OF SEQUENCES IN (3, j, ρ)-N-METRIZABLE SPACES, j ∈ {1, 2}”, Mat. Bilt., vol. 42, no. 1, pp. 21–26, Jan. 2018, doi: 10.37560/matbil18100021d.