Journal of Symbolic Logic 71 (4):1081 - 1096 (2006)
|Abstract||We investigate diagonal actions of Polish groups and the related intersection operator on closed subgroups of the acting group. The Borelness of the diagonal orbit equivalence relation is characterized and is shown to be connected with the Borelness of the intersection operator. We also consider relatively tame Polish groups and give a characterization of them in the class of countable products of countable abelian groups. Finally an example of a logic action is considered and its complexity in the Borel reducbility hierarchy determined|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Slawomir Solecki (2000). Actions of Non-Compact and Non-Locally Compact Polish Groups. Journal of Symbolic Logic 65 (4):1881-1894.
Christian Rosendal (2005). Cofinal Families of Borel Equivalence Relations and Quasiorders. Journal of Symbolic Logic 70 (4):1325 - 1340.
Samuel Coskey & Joel David Hamkins (2010). Infinite Time Decidable Equivalence Relation Theory. Notre Dame Journal of Formal Logic 52 (2):203-228.
Asger Törnquist (2006). Orbit Equivalence and Actions of Fn. Journal of Symbolic Logic 71 (1):265 - 282.
Greg Hjorth (2005). Bi-Borel Reducibility of Essentially Countable Borel Equivalence Relations. Journal of Symbolic Logic 70 (3):979 - 992.
Ramez L. Sami (1984). On ∑11 Equivalence Relations with Borel Classes of Bounded Rank. Journal of Symbolic Logic 49 (4):1273 - 1283.
Simon Thomas (2007). Property Τ and Countable Borel Equivalence Relations. Journal of Mathematical Logic 7 (01):1-34.
S. Jackson, A. S. Kechris & A. Louveau (2002). Countable Borel Equivalence Relations. Journal of Mathematical Logic 2 (01):1-80.
Alex Thompson (2006). A Metamathematical Condition Equivalent to the Existence of a Complete Left Invariant Metric for a Polish Group. Journal of Symbolic Logic 71 (4):1108 - 1124.
Kenneth Schilling & Boško Živaljević (1997). Louveau's Theorem for the Descriptive Set Theory of Internal Sets. Journal of Symbolic Logic 62 (2):595-607.
Luis Jaime Corredor (1989). Bad Groups of Finite Morley Rank. Journal of Symbolic Logic 54 (3):768-773.
Boško Živaljević (1991). U-Meager Sets When the Cofinality and the Coinitiality of U Are Uncountable. Journal of Symbolic Logic 56 (3):906-914.
Greg Hjorth (2008). Borel Equivalence Relations Which Are Highly Unfree. Journal of Symbolic Logic 73 (4):1271-1277.
Added to index2010-08-24
Total downloads2 ( #234,650 of 556,803 )
Recent downloads (6 months)1 ( #64,847 of 556,803 )
How can I increase my downloads?