Connectedness and Local Connectedness on Infra Soft Topological Spaces
| العنوان: | Connectedness and Local Connectedness on Infra Soft Topological Spaces |
|---|---|
| المؤلفون: | Tareq M. Al-shami, E. A. Abo-Tabl |
| المصدر: | Mathematics, Vol 9, Iss 1759, p 1759 (2021) Mathematics; Volume 9; Issue 15; Pages: 1759 |
| بيانات النشر: | MDPI AG, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Pure mathematics, Computer science, Social connectedness, General Mathematics, Astrophysics::High Energy Astrophysical Phenomena, 02 engineering and technology, Astrophysics::Cosmology and Extragalactic Astrophysics, Topological space, Space (mathematics), 01 natural sciences, infra soft connected space, separated soft sets, component, 0202 electrical engineering, electronic engineering, information engineering, Computer Science (miscellaneous), Physics::Atomic and Molecular Clusters, QA1-939, Countable set, Point (geometry), 0101 mathematics, Engineering (miscellaneous), Topology (chemistry), infra soft locally connected space, infra soft topology, 010102 general mathematics, Astrophysics::Instrumentation and Methods for Astrophysics, Homeomorphism, Product (mathematics), Computer Science::Computer Vision and Pattern Recognition, 020201 artificial intelligence & image processing, Mathematics |
| الوصف: | This year, we introduced the concept of infra soft topology as a new generalization of soft topology. To complete our analysis of this space, we devote this paper to presenting the concepts of infra soft connected and infra soft locally connected spaces. We provide some descriptions for infra soft connectedness and elucidate that there is no relationship between an infra soft topological space and its parametric infra topological spaces with respect to the property of infra soft connectedness. We discuss the behaviors of infra soft connected and infra soft locally connected spaces under infra soft homeomorphism maps and a finite product of soft spaces. We complete this manuscript by defining a component of a soft point and establishing its main properties. We determine the conditions under which the number of components is finite or countable, and we discuss under what conditions the infra soft connected subsets are components. |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2227-7390 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be0b4dff599f8c4ebe8904534e4e0485Test https://www.mdpi.com/2227-7390/9/15/1759Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....be0b4dff599f8c4ebe8904534e4e0485 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 22277390 |
|---|