explore math exchange?
Goal: get through chapter 5 (Tychonoff theorem).
Stretch: finish part I (metrization theorems, function spaces, Baire spaces).
Result: ended up finishing §28, i.e. one section shy of finishing chapter 3.
Confusion & Help
Confusion
Exercises
Exercises
Chapter 1: Set Theory and Logic
Chapter 1
Chapter 2: Topological Spaces and Continuous Functions
- §12 Topological Spaces
- §13 Basis for a Topology
- §14 The Order Topology
- §15 The Product Topology on $X \times Y$
- §16 The Subspace Topology
- §17 Closed Sets and Limit Points
- §18 Continuous Functions
- §19 Product Topology
- §20 Metric Topology