یادداشت‌هایی بر مقدمه‌ای بر توپولوژی نقطه‌ای

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. Chapter 1. Basic Point-Set Topology Topological Spaces Interior, Closure, and Boundary Basis for a Topology Metric Spaces Subspaces Continuity and Homeomorphisms Product Spaces Exercises Chapter 2. Connectedness Path-connected Spaces Cut Points Connected Components and Path Components The Cantor Set Exercises Chapter 3. Compactness Compact Sets in Euclidean Space Hausdorff Spaces Normal Spaces Lebesgue Numbers Infinite Products Exercises Chapter 4. Quotient Spaces Exercises