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; Volume 9; Issue 15; Pages: 1759
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2021
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: separated soft sets, infra soft connected space, infra soft locally connected space, component, infra soft topology
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: text
وصف الملف: application/pdf
اللغة: English
العلاقة: Fuzzy Sets, Systems and Decision Making; https://dx.doi.org/10.3390/math9151759Test
DOI: 10.3390/math9151759
الإتاحة: https://doi.org/10.3390/math9151759Test
حقوق: https://creativecommons.org/licenses/by/4.0Test/
رقم الانضمام: edsbas.41DBB156
قاعدة البيانات: BASE