A new notion of convergence on ideal topological spaces
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
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.
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.
How to Cite
LicenseThe authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License, which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.