应用数学系

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杨二光

发布日期:2022-05-19 作者: 来源:beat365官方网站 点击:

杨二光,教授,硕士生导师。主要从事一般拓扑学中广义度量空间理论及拓扑空间的映射刻画的研究。在国内外期刊上以第一作者发表论文37篇,其中SCI收录21篇。主持完成国家自然科学基金一项,参与研究国家自然科学基金3项,主持安徽省高校科研项目一项。指导研究生7人。

 

研究领域

广义度量空间,覆盖性质

拓扑空间的映射刻画,格值映射,集值映射

 

主讲课程

数学分析,实变函数,点集拓扑,线性代数

实分析,拓扑学基础,广义度量空间理论,公理集合论

 

基金项目

201101-201312应用集论方法对一般拓扑学及Domain理论中的若干问题的研究,国家自然科学基金,11001001 

202309-202508,某些拓扑空间的映射刻画问题研究,安徽省高校科研项目, 2023AH040148

 

代表性论文

1. E.-G. Yang and P.-F. Yan, On decomposition of A-continuity, Acta Math. Hungar., 110 (2006), 309-313.

2. E.Yang, Comparisons of some weak forms of continuity, Acta Math. Hungar., 116 (2007), 265-271.

3. E.-G. Yang and W.-X. Shi, An answer to van Mill’s question, Bull. Austral. Math. Soc., 78 (2008), 353-355.  

4. E.-G. Yang and W.-X. Shi, Weak base g-functions and metrizability of topological spaces, Top. Appl., 158 (2011), 238-243.  

5. E.-G. Yang and W.-X. Shi, Strong developments and metrization theorems, Houston J. Math., 37 (2011), 1363-1372.  

6. E.-G. Yang, g-spaces and metrization theorems, Houston J. Math., 38 (2012), 1017-1025.

7. E.-G. Yang, g-functions and some related spaces, Top. Appl., 159 (2012) 3590-3595.  

8. E.-G. Yang, A weak base version of Collins-Roscoe mechanism, Houston J. Math., 40 (2014), 655-661.  

9. E.-G. Yang, Properties defined with semi-continuous functions and some related spaces, Houston J. Math., 41 (2015), 1097-1106.  

10. E.-G. Yang, On MCP-spaces and mcb-spaces, Houston J. Math., 43 (2017), 669-677.  

11. E.-G. Yang, Characterizations of some spaces with maps to ordered topological vector spaces, Houston J. Math., 43 (2017), 678-689.  

12. E.-G. Yang, Real-valued functions and some related spaces, Top. Appl., 238 (2018), 76-89. 

13. E.-G. Yang, Characterizations of MCP and mcb spaces with maps, Houston J. Math., 45 (2019), 925-933.

14. E.-G. Yang and C.-C. Wu, Function characterizations of some spaces in which compacta are Gd, Filomat, 33 (2019), 1855-1863.  

15. E.-G. Yang, Insertion theorems for some topological spaces by maps to posets, Top. Appl., 267 (2019), 106879.  

16. E.-G. Yang, Real-valued functions and some related spaces II, Top. Appl., 270 (2020), 107039.  

17. E.-G. Yang, Set-valued maps and some generalized metric spacesHouston J. Math., 47 (2021), 51-61.

18. E.-G. Yang, Insertion theorems for countably paracompact frames and stratifiable frames, Topology and its Applications, 299 (2021), 107736.

19. E.-G. Yang, Insertion of lattice-valued functions for some topological spaces, Topology and its Applications, 320 (2022), 108232.  

20. E.-G. Yang and Z. Jiang, Strongly semi-continuous functions and d-stratifiable spaces, Filomat, 36 (2022), 5317-5324.

21. E.-G. Yang, Function characterizations of some topological spaces, Filomat, 37 (2023), 10025-10031.