Products of Borel subgroups
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- by Longyun Ding and Bingqing Li PDF
- Proc. Amer. Math. Soc. 136 (2008), 3319-3326 Request permission
Abstract:
We investigate the Borelness of the product of two Borel subgroups in Polish groups. While the intersection of these two subgroups is Polishable, the Borelness of their product is confirmed. On the other hand, we construct two $\boldsymbol {\Delta }^{0}_{3}$ subgroups whose product is not Borel in every uncountable abelian Polish group.References
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Additional Information
- Longyun Ding
- Affiliation: School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People’s Republic of China
- Email: dingly@nankai.edu.cn
- Bingqing Li
- Affiliation: Department of Risk Management and Insurance, Nankai University, Tianjin, 300071, People’s Republic of China
- Email: bqlink@126.com
- Received by editor(s): July 3, 2007
- Published electronically: April 29, 2008
- Additional Notes: The first author’s research was supported by the Science & Technology Innovation Fund of Nankai University Z1A2006015.
- Communicated by: Julia Knight
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3319-3326
- MSC (2000): Primary 03E15, 54H05, 22A05
- DOI: https://doi.org/10.1090/S0002-9939-08-09334-9
- MathSciNet review: 2407098