Interior Points and Convergence

This lecture covers the concept of interior points in vector spaces, distinguishing between interior points and boundary points, and defining convergence of sequences in real numbers. It explains the importance of distinguishing between different types of points and provides examples to illustrate these concepts. The lecture also delves into the definition of convergent sequences and the criteria for convergence. Additionally, it discusses the dense property of sets in real numbers and the implications of being dense. The instructor emphasizes the significance of understanding these fundamental concepts in mathematics to build a strong foundation for further studies.