### People

Longyun Ding

Professor

E-mail：dingly@nankai.edu.cn

University：Nankai University

Web：

Office：Room 236, School of Mathematical Sciences

Office-line：022-23505610

Research Fields：Descriptive Set Theory，Foundation of Mathematics

1. L. Ding, J. Li, C. Peng, Essential complexity of metrizable spaces,Topology and Its Applications, 301 (2021), 107501, 8pp.

2. L. Ding, K. Gu, On equivalence relations generated by Cauchy sequences in countable metric spaces, Annals of Pure and Applied Logic, 171 (2020), no. 10, 102854, 15pp.

3. L. Ding, T. Kihara, B. Semmes, J. Zhao,Decomposing functions of Baire class 2 on Polish spaces,The Journal of Symbolic Logic, 85 (2020), no 3, 960-971.

4. L. Ding, P. Yu, Reductions on Equivalence Relations Generated by Universal Sets,Mathematical Logic Quarterly, 65 (2019), no. 1, 8-13.

5. L. Ding, On equivalence relations generated by Schauder bases,The Journal of Symbolic Logic, 82 (2017), no 4, 1459-1481.

6. L. Ding, S. Gao, Non-archimedean abelian Polish groups and their actions, Advances in Mathematics, 307 (2017), 312-343.

7. L. Ding, S. Gao, Is there a Spectral Theory for all bounded linear operators?Notices of the American Mathematical Society, 61 (2014), no. 7, 730-735.

8. L. Ding, Characterization of $\ell_p$-like and $c_0$-like equivalence relations,Mathematical Logic Quarterly, 60 (2014), no. 4-5, 273-279.

9. L. Ding, Z. Yin, Borel equivalence relations between $\ell_1$ and $\ell_p$,Acta Mathematica Sinica, English Series, 29 (2013), no. 12, 2391-2396.

10. L. Ding, S. Gao, On the Borelness of the intersection operation,Israel Journal of Mathematics, 195 (2013), 783-800.

11. L. Ding, A trichotomy for a class of equivalence relations,Science China Mathematics, 55(2012), no. 12, 2621-2630.

12. L. Ding, On surjectively universal Polish groups,Advances in Mathematics, 231(2012), no. 5, 2557-2572.

13. L. Ding, Borel reducibility and Holder($\alpha$) embeddability between Banach spaces,The Journal of Symbolic Logic, 77 (2012), no. 1, 224-244.

14. L. Ding, Borel reducibility and finitely Holder($\alpha$) embeddability,Annals of Pure and Applied Logic, 162 (2011), 970-980.

15. L. Ding, B. Li, Products of Borel subgroups,Proceedings of the American Mathematical Society, 136 (2008), no. 9, 3319-3326.

16. L. Ding, S. Gao,On separable Banach subspaces,Journal of Mathematical Analysis and Applications, 340 (2008), no. 1, 746-751.

17. L. Ding, S. Gao, Graev metric groups and Polishable subgroups,Advances in Mathematics, 213 (2007), no. 2, 887-901.

18. L. Ding, S. Gao, New metrics on free groups,Topology and Its Applications, 154 (2007), no. 2, 410-420.

19. L. Ding, S. Gao, On generalizations of Lavrentieff's theorem for Polish group actions,Transactions of the American Mathematical Society, 359 (2007), no. 1, 417-426.

20. L. Ding, S. Gao, Diagonal actions and Borel equivalence relations,The Journal of Symbolic Logic, 71 (2006), no. 4, 1081-1096.