Cofinal Families of Borel Equivalence Relations and Quasiorders
Journal of Symbolic Logic 70 (4):1325 - 1340 (2005)
| Abstract | Families of Borel equivalence relations and quasiorders that are cofinal with respect to the Borel reducibility ordering. ≤B, are constructed. There is an analytic ideal on ω generating a complete analytic equivalence relation and any Borel equivalence relation reduces to one generated by a Borel ideal. Several Borel equivalence relations, among them Lipschitz isomorphism of compact metric spaces, are shown to Kσ complete | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,631 |
| External links |
|
| Through your library | Configure |
Samuel Coskey & Joel David Hamkins (2010). Infinite Time Decidable Equivalence Relation Theory. Notre Dame Journal of Formal Logic 52 (2):203-228.
Greg Hjorth (2005). Bi-Borel Reducibility of Essentially Countable Borel Equivalence Relations. Journal of Symbolic Logic 70 (3):979 - 992.
Slawomir Solecki (2000). Actions of Non-Compact and Non-Locally Compact Polish Groups. Journal of Symbolic Logic 65 (4):1881-1894.
Michael Ray Oliver (2004). Continuum-Many Boolean Algebras of the Form $\Mathcal{P}(\Omega)/\Mathcal{I}, \Mathcal{I}$ Borel. Journal of Symbolic Logic 69 (3):799 - 816.
Longyun Ding & Su Gao (2006). Diagonal Actions and Borel Equivalence Relations. Journal of Symbolic Logic 71 (4):1081 - 1096.
Ramez L. Sami (1984). On ∑11 Equivalence Relations with Borel Classes of Bounded Rank. Journal of Symbolic Logic 49 (4):1273 - 1283.
Andrea Sorbi (1982). ∑0n-Equivalence Relations. Studia Logica 41 (4):351-358.
Simon Thomas (2007). Property Τ and Countable Borel Equivalence Relations. Journal of Mathematical Logic 7 (01):1-34.
Greg Hjorth (2008). Borel Equivalence Relations Which Are Highly Unfree. Journal of Symbolic Logic 73 (4):1271-1277.
S. Jackson, A. S. Kechris & A. Louveau (2002). Countable Borel Equivalence Relations. Journal of Mathematical Logic 2 (01):1-80.
Greg Hjorth & Alexander S. Kechris (1997). New Dichotomies for Borel Equivalence Relations. Bulletin of Symbolic Logic 3 (3):329-346.
Alexander S. Kechris (1993). Amenable Versus Hyperfinite Borel Equivalence Relations. Journal of Symbolic Logic 58 (3):894-907.
Marek Nowak (forthcoming). On Some Generalizations of the Concept of Partition. Studia Logica:1-24.
Claudio Bernardi & Andrea Sorbi (1983). Classifying Positive Equivalence Relations. Journal of Symbolic Logic 48 (3):529-538.
Monthly downloads |
Added to index2010-08-24Total downloads3 ( #201,695 of 548,976 )Recent downloads (6 months)0How can I increase my downloads? |

