Erguang Yang, Ph.D.
Professor
Department of Applied Mathematics
School of Microelectronics &Data Science
Anhui University of Technology
Research Interests
l Generalized metric spaces, metrization theorems, Generalized countably compact spaces;
l Covering properties;
l Maps characterizations of topological spaces, maps with values into posets, maps with values into ordered topological vector spaces, set-valued maps
Teaching Courses
l Real Analysis, Foundations of Topology, Theory of Generalized Metric Spaces, Linear Algebra, Mathematical Analysis
Grants
l 201101-201312, Research on some problems in General Topology and Domain Theory with set theoretical method, National Science Foundation of China (grant no. 11001001)
l 202309-202508, Research on some problems concerning maps characterization of some topological spaces, The Natural Science Research Fund for Colleges and Universities in Anhui Province (grant no. 2023AH040148)
Selected Publications
1. E.-G. Yang and P.-F. Yan, On decomposition of A-continuity, Acta Math. Hungar., 110 (2006), 309-313. (SCI)
2. E.Yang, Comparisons of some weak forms of continuity, Acta Math. Hungar., 116 (2007), 265-271. (SCI)
3. E.-G. Yang and W.-X. Shi, An answer to van Mill’s question, Bull. Austral. Math. Soc., 78 (2008), 353-355. (SCI)
4. E.-G. Yang and W.-X. Shi, Weak base g-functions and metrizability of topological spaces, Top. Appl., 158 (2011), 238-243. (SCI)
5. E.-G. Yang and W.-X. Shi, Strong developments and metrization theorems, Houston J. Math., 37 (2011), 1363-1372. (SCI)
6. E.-G. Yang, g-spaces and metrization theorems, Houston J. Math., 38 (2012), 1017-1025. (SCI)
7. E.-G. Yang, g-functions and some related spaces, Top. Appl., 159 (2012) 3590-3595. (SCI)
8. E.-G. Yang, A weak base version of Collins-Roscoe mechanism, Houston J. Math., 40 (2014), 655-661. (SCI)
9. E.-G. Yang, Properties defined with semi-continuous functions and some related spaces, Houston J. Math., 41 (2015), 1097-1106. (SCI)
10. E.-G. Yang, On MCP-spaces and mcb-spaces, Houston J. Math., 43 (2017), 669-677. (SCI)
11. E.-G. Yang, Characterizations of some spaces with maps to ordered topological vector spaces, Houston J. Math., 43 (2017), 678-689. (SCI)
12. E.-G. Yang, Real-valued functions and some related spaces, Top. Appl., 238 (2018), 76-89. (SCI)
13. E.-G. Yang, Characterizations of MCP and mcb spaces with maps, Houston J. Math., 45 (2019), 925-933. (SCI)
14. E.-G. Yang and C.-C. Wu, Function characterizations of some spaces in which compacta are Gd, Filomat, 33 (2019), 1855-1863. (SCI)
15. E.-G. Yang, Insertion theorems for some topological spaces by maps to posets, Top. Appl., 267 (2019), 106879. (SCI)
16. E.-G. Yang, Real-valued functions and some related spaces II, Top. Appl., 270 (2020), 107039. (SCI)
17. E.-G. Yang, Set-valued maps and some generalized metric spaces，Houston 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.
