The Dover edition is reasonably priced (typically $20–30 new), but international students or those in economically disadvantaged regions often face prohibitive shipping costs or import duties. A PDF, whether legitimate or otherwise, offers instant access.
Advanced undergraduate / beginning graduate. Prerequisites include basic set theory, real analysis, and mathematical maturity. willard general topology pdf
| Week | Chapters | Focus | Exercises to submit (to yourself) | |------|----------|-------|------------------------------------| | 1 | 1–2 | Review set theory, def of topology | 2A, 2B, 2C | | 2 | 2 (cont.) | Closure, interior, basis, subspace | 2D, 2E, 2G | | 3 | 3 | Continuity, nets, convergence | 3A, 3D, 3F | | 4 | 3 (cont.) | First-countable, sequential spaces | 3H, 3I | | 5 | 4 | Separation axioms (T0–T4) | 4A, 4C, 4D | | 6 | 4 | Urysohn, Tietze | 4F, 4I | | 7 | 5 | Compactness, finite intersection prop. | 5A, 5C, 5D | | 8 | 5 | Tychonoff, local compactness | 5F, 5J | The Dover edition is reasonably priced (typically $20–30