| Abstract | 第6-7页 |
| 摘要 | 第8-10页 |
| Introduction and Backgrounds | 第10-16页 |
| 0.1 Reflection | 第11-12页 |
| 0.2 Minimality and local minimality | 第12-14页 |
| 0.3 Separability and weaker forms of compactness | 第14-16页 |
| Chapter 1 The τ-precompact Hausdorff Group Reflection of TopologicalGroups | 第16-33页 |
| 1.1 Preliminaries and main results | 第16-17页 |
| 1.2 The τ-precompact Hausdorff reflection of topological groups | 第17-23页 |
| 1.3 Precompact and ω-narrow Hausdorff reflections | 第23-25页 |
| 1.4 Some properties of canonical homomorphisms and reflection functors | 第25-33页 |
| Chapter 2 Locally Compact Groups and Locally Minimal Group Topolo-gies | 第33-49页 |
| 2.1 Preliminaries and main results | 第33-36页 |
| 2.2 Background on local minimality | 第36-40页 |
| 2.3 Compact abelian groups with a non-locally minimal subgroup | 第40-44页 |
| 2.4 Proofs of Theorem 2.1.7 and Theorem 2.1.9 | 第44-47页 |
| 2.5 Final remarks and open questions | 第47-49页 |
| Chapter 3 Topological Groups Whose Closed Subgroups are Separable,and the Product Operation | 第49-67页 |
| 3.1 Preliminaries and main results | 第49-50页 |
| 3.2 A ZFC example of precompact topological groups | 第50-52页 |
| 3.3 Products of pseudocompact groups | 第52-57页 |
| 3.4 Products of countably compact groups | 第57-65页 |
| 3.5 Open problems | 第65-67页 |
| Bibliography | 第67-73页 |
| Publications or Finished Papers | 第73-74页 |
| Acknowledgements | 第74页 |
