Dismountable and non-Dismountable Spaces via Proximity Space
Keywords:Attached space, Bushy set, Scant set, Sparse set, Strongly non-dismountable
Most problems studied by researchers were converted into mathematical formulas in the proximity space because this space is easily employed to solve the different problems of life. Therefore, the current study attempts to find a new property for proximity spaces using the proximity and cluster properties and linking them to obtain new cumulative points, it is called the Bushy Points and the set of all these points is the Bushy set. They form a coherent mathematical foundation for the topological formula that is looking for, which can be called dismountable space. If the space does not have this property, it can be called a non-dismountable space.
Published Online First 20/09/2023
Somashekhar Naimpally. Proximity Approach to Problems in Topology and Analysis. Canada: Gruyter Oldenbourgsee; 2009. Chapter 2, The Lodato Proximity; p. 3-21. https://www.degruyter.com/document/doi/10.1524/9783486598605/pdf .
AL Talkany YK, Al Swidi LA. ψ-Operator Proximity in i-Topological Space. Tur Com Mat. 2021; 12(1S): 679-684. https://turcomat.org/index.php/turkbilmat/article/download/1973/1704/3706 .
AL Talkany YK, Al Swidi LA. New Concepts of Dense set in i-Topological space and Proximity Space. Tur Com Mat. 2021; 12: 685-690. https://turcomat.org/index.php/turkbilmat/article/view/1974 .
Hadi MH, Hadi HA, Al Swidi LA. Development of local function. J Interdiscip Math. 2022; 25: 2503-2509. https://www.tandfonline.com/doi/abs/10.1080/09720502.2022.2040849 .
Qahtan GA, Al Swidi LA. Shrink central continuous function. J Interdiscip Math. 2022; 25: 2617-2622. https://www.tandfonline.com/doi/abs/10.1080/09720502.2022.2057051 .
Abdulsada DA, Al-Swidi LAA. Center Set Theory of Proximity Space. J Discret Math. Sci Cryptogr. 2021; 1804 (1): 012130. https://iopscience.iop.org/article/10.1088/1742-6596/1804/1/012130 .
Hadi MH, Al Swidi LA. The Neutrosophic Axial Set theory. Neutrosophic Sets Syst. 2022; 51:1-9. http://fs.unm.edu/NSS/NeutrosophicAxial18.pdf .
Al Swidi LA, Regadh DA, Hadi MH. About the dual soft theory. J Discret Math. Sci Cryptogr. 2022; 25(8): 2717-2722. https://doi.org/10.1080/09720529.2022.2060917 .
Regadh DA, Al Swidi LA, Hadi MH. On fuzzy
Intense separation axioms in fuzzy ideal topological space. JIM. 2022; 25(2): 1357-1363. https://www.tandfonline.com/doi/abs/10.1080/09720502.2022.2040855.
Almohammed R , Al Swidi LA. New concepts of fuzzy local function .Baghdad Sci J. 2020; 17: 515-522.
Al Swidi LA, Awad FSS. On Soft Turning Points. Baghdad Sci J. 2018; 15(3): 352-360. https://www.bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2484/2415.
Ayat T, Amal M. Some New Fixed Point Theorems in Weak Partial Metric Spaces. Baghdad Sci J. 2020; 18: 175-180.
Hadeel H, Salwa A. Fixed Point Theorems in General Metric Space with an Application. Baghdad Sci J. 2021; 18(1): 812-815. https://www.iasj.net/iasj/pdf/69cdf244e05ed03a.
Copyright (c) 2023 Baghdad Science Journal
This work is licensed under a Creative Commons Attribution 4.0 International License.