1. Topologies

Chapters in this book

1. Frontmatter I
2. Preface V
3. Contents IX
4. 0. Preliminaries 1
5. 1. Topologies 21
6. 2. New topologies from existing topologies 65
7. 3. Continuity 85
8. 4. Connectedness 103
9. 5. Compactness 115
10. 6. Metric spaces and real analysis 133
11. 7. Separation axioms and compactifications 157
12. 8. Alexandroff spaces 181
13. 9. Lattice properties 201
14. 10. Partially ordered topological spaces 219
15. 11. Variations on metric spaces 233
16. 12. Uniform structures 253
17. 13. Continuous deformation of sets and curves 283
18. Index 307
19. Bibliography 313