New types of compact proximity
*Raghad AlmohammedCorresponding authorraghad_hamid@karbala.edu.iqHoly Karbala Directorate of Education, Ministry of EducationKarbala, IraqView full profile → , Alyaa Yousef Khudayer Mutawekalyaay.khudhair@uokufa.edu.iqDepartment of MathematicsCollege of Computer Sciences and MathematicsUniversity of KufaNajaf, Iraq0000-0002-9856-735XView full profile → , Luay A. Al-Swidipure.leal.abd@uobabylon.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of BabylonBabylon, Iraq0000-0001-5641-1616View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 Oct 2024
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2074
- Pages:
- 953–961
Abstract
Keywords
Subject Classifications
References
[1] A. Y. Mutawek and R. A. Al-Abdulla, “Ideal grill compactness space,” J. Interdiscip. Math., vol. 26, no. 4, pp. 691-698 (2023).
[2] J. F. Peters, Topology of Digital Images: Visual Pattern Discovery in Proximity Spaces (Intell. Syst. Reference Library, vol. 63). Berlin, Germany: Springer (2014).
[3] N. Somashekhar, “Proximity approach to problems in topology and analysis,” in The Lodato Proximity, Gruyter Oldenbourg, Canada, ch. 2, pp. 3-21 (2009).
[4] S. E. Navarro, M. K. Kim, A. Pérez-Yus, M. A. Vicente-Pedraz, and J. Civera, “Proximity perception in human-centered robotics: A survey on sensing systems and applications,” IEEE Transactions on Robotics, vol. 38, no. 3, pp. 1599–1620 (Jun. 2022).
[5] C. X. Trang, Y. Xie, W. Xing, J. Shen, S. Lee, S. Stolt, B. D. Faeth, Z. Q. Wang, C. M. Polley, D. A. Muller, P. M. Voyles, R. M. Fernandes, M. S. Scheurer, and L. M. Schoop, “Conversion of a conventional superconductor into a topological superconductor by topological proximity effect,” Nature Communications, vol. 11, no. 1, p. 159 (Jan. 2020).
[6] F. Riesz, Sur les opérations fonctionnelles linéaires. Paris, France: Gauthier-Villars (1909).
[7] R. Almohammed and L. A. A. Jabar, “Dismountable and non-dismountable spaces via proximity space,” Baghdad Sci. J., vol. 21, no. 4, pp. 1363-1370 (2024).
[8] L. A. A. Al-Swidi and M. A. Al-Ethary, “Compactness with Gem-Set,” Int. J. Math., vol. 8, no. 21-24, pp. 1105-1117 (2014).
[9] K. H. Ali, “Zariski topology of intuitionistic fuzzy d-filter,” Iraqi J. Sci., vol. 63, no. 3, pp. 1208-1214 (2022).
[10] P. S. John, “Local density-based hierarchical clustering using minimum spanning tree,” J. Discrete Math. Sci. Cryptogr., vol. 16, no. 2-3 (2013).
[11] M. H. Hadi, H. A. Hadi, and L. A. A. AlSwidi, “Development of local function,” J. Interdiscip. Math., vol. 25, pp. 2503-2509 (2022).
