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On generalizations of Lavrentieff's theorem for Polish group actions |
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| Authors: | Longyun Ding Su Gao |
| Affiliation: | School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, People's Republic of China ; Department of Mathematics, P.O. Box 311430, University of North Texas, Denton, Texas 76210 |
| Abstract: | It is shown that for every Polish group  that is not locally compact there is a continuous action  of  on a  -complete subset  of a Polish space  such that  cannot be extended to any superset of  in  . This answers a question posed by Becker and Kechris and shows that an earlier theorem of them is optimal in several aspects. |
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