Notes on Introductory Point-Set Topology |

These are notes from the first part of an undergraduate course in 2005. There are only about 50 pages, so they don't cover very much material, just the most basic things.

- Notes on Introductory Point-Set Topology (pdf file)

- Topological Spaces
- Interior, Closure, and Boundary
- Basis for a Topology
- Metric Spaces
- Subspaces
- Continuity and Homeomorphisms
- Product Spaces
- Exercises

- Path-connected Spaces
- Cut Points
- Connected Components and Path Components
- The Cantor Set
- Exercises

- Compact Sets in Euclidean Space
- Hausdorff Spaces
- Normal Spaces
- Lebesgue Numbers
- Infinite Products
- Exercises

- Exercises