| 摘要 | 第4-5页 |
| Abstract | 第5-6页 |
| A Bird's Eye View | 第9-15页 |
| 0.1 A non-ω balanced paratopological group with countable π-character | 第10-12页 |
| 0.2 Dense subgroups of semitopological groups | 第12-13页 |
| 0.3 Three space properties in paratopological groups | 第13-15页 |
| Chapter 1 A non-ω-balanced paratopological group with countable π-character | 第15-24页 |
| 1.1 Introduction | 第15-17页 |
| 1.2 Properties of paratopological groups with countable weak extent and applications | 第17-20页 |
| 1.3 The relation between ω-balanced and π-character | 第20-21页 |
| 1.4 An example of a non ω-balanced paratopological group with countable π-character | 第21-24页 |
| Chapter 2 Dense subsets of semitopological groups and paratopolog- ical groups 16 | 第24-34页 |
| 2.1 Introduction | 第24-25页 |
| 2.2 Notation and terminology | 第25-27页 |
| 2.3 Results | 第27-34页 |
| Chapter 3 Three space properties in paratopological groups | 第34-45页 |
| 3.1 Introduction | 第34-35页 |
| 3.2 Notation and Terminology | 第35-36页 |
| 3.3 Main Results | 第36-45页 |
| REFERENCES | 第45-49页 |
| Papers published during my PhD program | 第49-50页 |
| 致谢 | 第50-51页 |
