A new notion of convergence on ideal topological spaces

Authors

DOI:

https://doi.org/10.17268/sel.mat.2020.02.07

Keywords:

b-I-convergence, b-I-irresolute functions, preserving b-I-convergence functions, b-I-sequentially open, b-I-sequential spaces, b-I-covering functions, b-I-Fréchet-Urysohn spaces

Abstract

In this article, we use the notions of b-open and b-I-open sets to introduce the idea of b-I-convergence which we will denoted by b-I-convergence, we also show some of its properties. Besides, some basic properties of b-I-Fréchet-Urysohn space is shown. Moreover, notions related to b-I-sequential and b-I-sequentially are proved. Furthermore, we show some relations of b-I-irresolute functions between preserving b-I-convergence functions and b-I-covering functions.

References

Andrijevi D. On b-open sets. Mat. Vesnik. 1996; 48:59–64.

Aysegul G, Gulhan A. b-I-open sets and descomposition of continuity via idealizacion. Processing of IMM of NAS of Azerbaijan. 2004; 27–32.

Boone J, Siwiec F. Sequentially quotient mappings. Czechoslov. Math. J. 2018; 26:174–182.

Franklin S. Spaces in which sequences suffice. Fund. Math.. 1965; 57:107–115.

Kuratowski K. Topologie. Monografie Matematyczne tom 3. Warszawa: PWN-ploish Scientific Publishers. 1933.

Lin S, Yun Z. Generalized metric spaces and mapping. Atlantis Studies in Mathematics. 2016; 6.

Zhou X, Lin S. On topological spaces defined by I-convergence. Bulletin of the Iranian Math. Society; 2019.

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Published

2020-12-25

How to Cite

Granados, C. (2020). A new notion of convergence on ideal topological spaces. Selecciones Matemáticas, 7(02), 250-256. https://doi.org/10.17268/sel.mat.2020.02.07