A new decomposition of open and closed sets in topological spaces
Keywords:*b-open sets, generalized of *b-closed sets, locally *b-closed sets, regular generalized *b-closed sets, weakly *b-closed sets
In this paper, we show some properties on *b-open sets. Besides, we introduce the notions of generalized *b-closed sets, locally *b-closed sets, regular generalized *b-closed sets and weakly *b-closed sets. Moreover, we study some of their properties.
Al-Omari A, Salmi M. Decomposition of continuity via b-open set. Bol. Soc. Paran. Mat. 1996; 26(1-2): 53-64.
Andrijivic D. On b-open sets. Mat. Vesnik. 1996; 48: 59-64.
Gnanambal Y. On generalized pre-regular closed sets in topological spaces. Indian J. Pure Appl. Math. 1997; 28: 351-360.
Granados C. A decomposition of continuity and contra continuity in ideal nano topological spaces. Journal of the international
Mathematical Virtual Institute. 2020; 10(2): 271-286.
Granados C. A decomposition of open sets through operator interior, International Journal of Advances in Applied Mathematics and Mechanics. 2020; 8(2): 15-26.
Granados C. A new notion of convergence on ideal topological spaces, Selecciones Matem´aticas. 2020; 7(2): 250-256.
Hariwan Z. Bc-open sets in topological spaces. Advances in pure Mathematics. 2013; 3: 34-40.
Hdeib H. w-closed mappings. Revista Colombiana de Mat. 1982; 16: 65-78.
Indira T, Rekha K. On locally **b-closed sets. Proceedings of the Heber International Conference on Applications of Mathematics an Statistics. 2012.
Kuratowski K. Topologie I. Monografie Matematyczne tom 3. PWN-Polish Scientific Publishers. Warszawa. 1933.
Levine N. Semi-open sets and semi-continuity in topological spaces. Armer Math. Monthly. 1963; 70: 36-41.
Mariappa K, Sekar S. On regular generalized b-closed set. Int. Journal of Math. Analysis. 2013; 3(13): 613-624.
Mashhour A, El-monsef M, El-deeb S. On pre-continuous and weak pre-continuous mappings. Proc. Math. Phys. Soc. Egypt. 1982; 53:47-53.
Noiri T, Keskin A. On Al -sets and some weak separation axioms. Int. J. Math. Anal. 2011; 5(11): 539-548.
Stone M. Applications of the theory of Boolean rings to general topology. Trans. Armer. Math. Soc. 1937; 41:375-381.
Usha R, Thangavelu P. On locally numeralb-closed sets and weakly numeralb-closed sets. South Asian Journal Of Multidisciplinary
Studies. 2015; 2(3):181-196.
How to Cite
Copyright (c) 2021 Carlos Granados
This work is licensed under a Creative Commons Attribution 4.0 International License.The 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.