This article aims to create an approximation space from any simplicial complex by representing a finite simplicial complex as a union of its components. These components are arranged into levels beginning with the highest-dimensional simplices. The universal set of the approximation space is comprised of a collection of all vertices, edges, faces, and tetrahedrons, and so on. Moreover, new types of upper and lower approximations in terms of a betweenness relation will be defined. A betweenness relation means that an element lies between two elements: an upper bound and a lower bound. In this work, based on Zhang et al.'s concept, a betweenness relation on any simplicial complex, which produces a set of order relations, is established and some of its topologies are studied.
simplicial complexes approximation spaces order relation topological spaces betweenness relation
Tanta University
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Ağustos 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 51 Sayı: 4 |