Dense Sets - 7
With our understanding of closures of sets, we are now able to define the idea of a dense set more precisely than what we’ve seen previously. We’ll discuss sets that are dense, not dense, and nowhere-dense in the reals. This leads us to our first meeting of Baire’s Theorem, another interesting perspective on the reals as a “large” infinite set.
Pre-Lecture Materials
Dense sets and Baire’s Theorem: 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.
Assignments
- Submit Overleaf Proof 07: Dense Sets
- Homework 4