BinaryRelations, Equivalence Relations, and Partitions

Norms and Metrics, Normed Vector Spaces, and Metric Spaces

Sequences and Convergence in Metric Spaces

Some Notation: Set of All Functions, Set of All Subsets

Additional Notes on Convergence in Function Spaces

Open Sets and Closed Sets in Metric Spaces

Cauchy Sequences and Complete Metric Spaces

Continuous Functions in Metric Spaces

The Bolzano-Weierstrass Property and Compactness

Topology and Topological Spaces

Example: Growth Theory and Dynamic Programming

Correspondences, the Maximum Theorem, and Kakutani's Theorem