Focus Questions
- What are boundary points, limit points, and isolated points of a set in a metric space? How are they related and how are they different?
- What does it mean for a set to be closed in a metric space?
- What important properties do closed sets have in relation to unions and intersections?
- How can we use closed sets to determine the continuity of a function?
- How are limit points related to sequences?
- How are boundary points related to sequences?
- What is the boundary of a set in a metric space?
- How are limit points and boundary points related to closed sets?
- What is the closure of a set in a metric space?
- How are closed sets related to sequences?
