Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 2 2022 07 01 Introducing $n$-sequences and study of their topological properties 2389 2398 6668 10.22075/ijnaa.2021.23309.2518 EN Sabiha Tabassum Department of Applied Mathematics, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India 0000-0001-6001-2407 Fatma Ruqaiyya Department of Applied Mathematics, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India Ayhan Esi Department of Basic Engineering Sciences, Engineering Faculty, Malatya Turgut Ozal University, Malatya-44040, Turkey 0000-0003-3137-3865 Journal Article 2021 05 01 In this article, the concept of $n$-sequences in topological spaces has been introduced which is new to the existing literature. We study the sequential limit aspect of statistical convergence for such sequences. Besides, the notions of subsequences, limit points, statistical limits points, and statistical cluster points in topological spaces have been given for $n$-sequences. This material contains a detailed explanation of inclusion relations between these points spaces and their basic properties. We also introduce $s_{n}$ and $s_{n}^{*}$-convergent spaces and discuss some of their properties. n-sequence statistical convergence Statistical limit point Statistical cluster point https://ijnaa.semnan.ac.ir/article_6668_5a499f6e26313e19bd4049009bbed5bd.pdf