| Authors: | Farah, Ilijas | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Basis problem for turbulent actions I: Tsirelson submeasures | Journal: | Annals of Pure and Applied Logic | Volume: | 108 | Issue: | 1-3 | First page: | 189 | Last page: | 203 | Issue Date: | 30-Mar-2001 | Rank: | M21 | ISSN: | 0168-0072 | DOI: | 10.1016/S0168-0072(00)00045-2 | Abstract: | We use modified Tsirelson's spaces (Casazza and Shura, Lecture Notes in Mathematics, Vol. 1363, Springer, Berlin, 1980) to prove that there is no finite basis for turbulent Polish group actions. This answers a question of Hjorth and Kechris (see Hjorth and Kechris, Bull. Symbolic Logic 3 (1997) 329-346; Hjorth, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2000, Section 3.4.3). |
Keywords: | Borel equivalence relations | Tsirelson space | Publisher: | Elsevier |
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