Basis problem for turbulent actions I: Tsirelson submeasures

Annals of Pure and Applied Logic 108 (1-3):189-203 (2001)
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Abstract

We use modified Tsirelson's spaces to prove that there is no finite basis for turbulent Polish group actions. This answers a question of Hjorth and Kechris 329–346; Hjorth, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2000, Section 3.4.3)

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10.1016/s0168-0072(00)00045-2

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Citations of this work

On Schauder equivalence relations.Xin Ma - 2017 - Mathematical Logic Quarterly 63 (6):491-500.
On equivalence relations generated by schauder bases.Longyun Ding - 2017 - Journal of Symbolic Logic 82 (4):1459-1481.

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References found in this work

New dichotomies for borel equivalence relations.Greg Hjorth & Alexander S. Kechris - 1997 - Bulletin of Symbolic Logic 3 (3):329-346.
Analytic ideals.Sławomir Solecki - 1996 - Bulletin of Symbolic Logic 2 (3):339-348.
Actions by the classical Banach spaces.G. Hjorth - 2000 - Journal of Symbolic Logic 65 (1):392-420.
The Rudin-Blass ordering of ultrafilters.Claude Laflamme & Jian-Ping Zhu - 1998 - Journal of Symbolic Logic 63 (2):584-592.

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