New Concepts of Dense set in i-Topological space and Proximity Space

Talkany, Yiezi Kadham Mahdi Al

doi:10.17762/turcomat.v12i1s.1974

Cited by 4 publications

(1 citation statement)

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“…These points were also studied on different areas such as soft spaces [2][3][4] and fuzzy spaces, the researchers were able to find other parallel definitions [5][6][7]. Some of them studied these points on proximity spaces, specifically in the (𝑖-topological Proximity Space) [8][9][10][11]. The proximity space established by Riesz (1908), which is synonymous with the measurement between two sets, has inspired researchers to study those points within this space due to its important applications in image processing and lost image retrieval, as well as its importance in engineering applications [12].…”

Section: Issn: 0067-2904mentioning

confidence: 99%

Follower and Takeoff Points in Proximity Spaces

Almohammed,

Jabar

2023

Iraqi Journal of Science

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In the present study, the cluster concept was adopted to find points parallel to the cumulative points of any subset in topology cluster proximity spaces. The takeoff set term was given by the researcher to the set of all points. Also, an opposite definition was found for it, which is the follower set. The relation between them was found and their most important properties were highlighted. Through these two sets, new sets were built that are called, f_σ-set ,f_tσ-set ,t_fσ-set ,bushy set, scant set .

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