| Abstract | 第1-6页 |
| Chinese abstract | 第6-7页 |
| Chapter Ⅰ Introduction and Preliminaries | 第7-11页 |
| Chapter Ⅱ Z-open sets | 第11-15页 |
| ·Z-open sets | 第11-13页 |
| ·Relation with known nearly open sets | 第13-15页 |
| Chapter Ⅲ Z-compact and Countably Z-compact | 第15-24页 |
| ·Z-compactness and its characterizations | 第15-18页 |
| ·Some properties of Z-compactness | 第18-19页 |
| ·Countably Z-compact sets and Z-Lindelof sets | 第19-21页 |
| ·Characterizations of countably Z-compact sets and Z-Lindel(o|¨)f sets | 第21-24页 |
| Chapter Ⅳ Z-type of strong connectivity | 第24-29页 |
| ·Z-type of strong connectivity of L-fuzzy sets | 第24-27页 |
| ·Generalization of K.Fan's theorem | 第27-29页 |
| Chapter Ⅴ SP-Urysohn spaces | 第29-32页 |
| ·SP-Urysohn spaces | 第29-32页 |
| References | 第32-34页 |
| Acknowledgements | 第34-35页 |
| Appendix | 第35页 |
