On a stronger notion of connectedness in c-spaces

• Date: 2023
• Main Author: Santhosh, P. K.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: c-space; \(Y\)-connected c-space; t-closure; touching; connectivity spaces; 05C40; 54A05; 54D05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1624
• Journal Title: Algebra and Discrete Mathematics

In this article, a stronger form of connectedness called \(Y\)-connectedness in c-spaces is introduced and some of its properties are studied. Using the notion of touching, some conditions under which union of \(Y\)-connected sub c-spaces of a c-space become \(Y\)-connected is also discussed.