Lecture Notes
- Lecture 1 — Logic and Set Theory
- Lecture 2 — Sets and Functions
- Lecture 3 — Sets, Functions and Relations
- Lecture 4 — Relations and Natural Numbers
- Lecture 5 — Finite and Countable Sets and the Axiom of Choice
- Lecture 6 — Axiom of Choice, Topology and Bases
- Lecture 7 — Bases, Subbases and the Order Topology
- Lecture 8 — The Order, Product and Subspace Topologies
- Lecture 9 — Subspaces and Closed Sets
- Lecture 10 — Neighborhoods and Limits
- Lecture 11 — Continuity
- Lecture 12 — Continuity
- Lecture 13 — The Product Topology
- Lecture 14 — The Box and Metric Topologies
- Lecture 15 — The Metric Topology
- Lecture 16 — Sequences and the Metric Topology
- Lecture 17 — Metric Topology Counter-examples and the Quotient Topology
- Lecture 18 — The Quotient Topology
- Lecture 19 — The Quotient Topology, Topological Groups and Category Theory
- Lecture 20 — Topological Groups and Category Theory
- Lecture 21 — Connectedness
- Lecture 22 — Connectedness and Components
- Lecture 23 — Components and Compactness
- Lecture 24 — Compactness
- Lecture 30 — Compact-open topology