Chapter 2: Basic Topology - Finite, Countable, and Uncountable Sets

Welcome to Chapter 2 of Principles of Mathematical Analysis. In this first section, we study finite, countable, and uncountable sets. This is the foundation for everything that follows in topology and analysis. We will learn how to compare the sizes of infinite sets, a surprisingly subtle question that leads to beautiful and sometimes counterintuitive results. Slides: https://github.com/petercerno/principles-of-analysis-slides/tree/main/slides/chapter_02_section_01_finite_countable_uncountable