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Products of Borel subgroups |
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| Authors: | Longyun Ding Bingqing Li |
| Institution: | School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China ; Department of Risk Management and Insurance, Nankai University, Tianjin, 300071, People's Republic of China |
| 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  subgroups whose product is not Borel in every uncountable abelian Polish group. |
| Keywords: | Polish group Borelness Polishable subgroup |
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