TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Bi-nano topological spaces with grill bi-open sets

* , ,

* Corresponding author · click or hover a name for details

pp. 909–915Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-2026XML
Received:
08 Oct 2024
Published Online:
08 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2026
Pages:
909–915

Abstract

The study introduces a new concept in Nano topological spaces is said Grill Bi-Nano topological spaces via studying three issues disjoint of each other rely on the number of equivalence relations for the universe set and its subset and also present definitions for the GN1,2- interior and GN1,2- closure of sets with this framework and we briefly discuss some characteristics of local functions. 

Keywords

Subject Classifications

18B3028C15

References

[1] A. Abd El Fattah El Atik, “On grill nano topological space and its related nano continuity,” Journal of Physics (2021).
[2] A. Sh. M. Ahmed and R. B. Esmaeel, “On semi-open sets in grill nano topological spaces,” Journal of Interdisciplinary Mathematics (Jul. 2023).
[3] A. A. Azzam, “Grill nano topological spaces with grill nano generalized closed set,” Journal of the Egyptian Mathematical Society, vol. 25, no. 2, pp. 164-166 (2017).
[4] K. Bhuvaneswari and H. R. Banu, “On nano (1,2)*-generalized α-closed sets in nano bi-topological space,” International Journal of Science and Research, vol. 5, no. 4, pp. 1292-1295 (2016).
[5] G. Choqet, “Sur les notions de filter et grill,” Comptes Rendus Acad. Sci. Paris, vol. 224, pp. 171-173 (1947).
[6] R. B. Esmaeel and M. O. Mustafa, “Separation axioms with grill-topological open set,” Journal of Physics: Conference Series, vol. 1879, no. 2, p. 022107 (May 2021).
[7] R. B. Esmaeel and S. S. Suliman, “On some new types of nano topological spaces and their applications,” Journal of Advanced Research in Dynamical and Control Systems, vol. 14, Special Issue 10, pp. 1441-1454 (2022).
[8] E. Hatir and S. Jafari, “On some new classes of sets and a new decomposition of continuity via grills,” Journal of Advanced Mathematical Studies, vol. 3, no. 1, pp. 33-41 (2010).
[9] I. Furxhi, A. G. Lynch, S. T. Howard, M. J. Harper, M. Zabeo, and T. Puzyn, “Artificial augmented dataset for the enhancement of nano-QSARs models: A methodology based on topological projections,” Nanotoxicology, vol. 17, no. 6–7, pp. 758–774 (Oct. 2023).
[10] S. Ghobadi, M. Ghods, and M. Ghorbani Nejad, “Hyper and multiple f-index of nano star dendrimers,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 26, no. 6 (May 2022).
[11] M. L. Thivagar and C. Richard, “On nano continuity,” Mathematical Theory and Modeling, vol. 3, no. 7, pp. 32-37 (2013).
[12] M. L. Thivagar and V. S. Devi, “Computing technique for recruitment process via nano topology,” Sohag Journal of Mathematics, vol. 3, no. 1, pp. 37-45 (2016).
[13] N. Taheri and A. K. K. Kaleel, “Symbolic dynamics and topological complexity in discrete dynamical systems,” Babylonian Journal of Mathematics, pp. 66-71 (2023).

Views: 140Downloads: 6Citations: 1