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Borel complexity of the space of probability measures |
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| Authors: | Abhijit Dasgupta |
| Abstract: | Using a technique developed by Louveau and Saint Raymond, we find the complexity of the space of probability measures in the Borel hierarchy: if |
| Keywords: | |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
is any non-Polish Borel subspace of a Polish space, then 
, the space of probability Borel measures on 
with the weak topology, is always true 
, where 
is the least ordinal such that 
is 
.