Open and Closed Sets - 5

In this section, we’ll see how the notion of limit points and interior points allows us to define two new types of sets: open sets and closed sets.

Reading: Rudin Chapter 2: Metric Spaces (pg. 32-34)

Pre-Lecture Materials

Open and Closed Sets: Pre-lecture video A

Unions and Intersections: Pre-lecture video B

In-Class Activities

Open the following Overleaf link and make a copy for yourself. Remember to include the names of everyone who worked together in the document.

Lecture 5 In-Class Activity: Open and Closed Sets

Assignments

  • Submit Overleaf Proof 05: Open and Closed Sets

Lecture Notes