دورية أكاديمية

Connectedness and Local Connectedness on Infra Soft Topological Spaces

التفاصيل البيبلوغرافية
العنوان: Connectedness and Local Connectedness on Infra Soft Topological Spaces
المؤلفون: Tareq M. Al-shami, El-Sayed A. Abo-Tabl
المصدر: Mathematics, Vol 9, Iss 15, p 1759 (2021)
بيانات النشر: MDPI AG, 2021.
سنة النشر: 2021
المجموعة: LCC:Mathematics
مصطلحات موضوعية: separated soft sets, infra soft connected space, infra soft locally connected space, component, infra soft topology, Mathematics, QA1-939
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.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2227-7390
العلاقة: https://www.mdpi.com/2227-7390/9/15/1759Test; https://doaj.org/toc/2227-7390Test
DOI: 10.3390/math9151759
الوصول الحر: https://doaj.org/article/72d70df2857b4bab8cc3a899fc47159cTest
رقم الانضمام: edsdoj.72d70df2857b4bab8cc3a899fc47159c
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22277390
DOI:10.3390/math9151759