Linear algebraic groups and countable Borel equivalence relations
By S. Adams, Alexander S. Kechris. 2000
110 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4f12fea96fb59fbf0e892de40742cc05ebf04066
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Greg Hjorth
- Christian Rosendal
- Alexander S. Kechris
- Alain Louveau
- A. Furman
- Marcin Sabok
- Damien Gaboriau
- Todor Tsankov
In Mathematical Physics
- Alexander S. Kechris
- Greg Hjorth
- Christian Rosendal
- Alain Louveau
- A. Furman
- Lewis Bowen
- Sorin Popa
- Todor Tsankov
Citations in the corpus
- Borel Equivalence Relations (2010, background): “3 (Adams-Kechris, [2]) There exists an assignment of countable Borel equivalence relations to Borel subsets of R, B 7→ EB , such that EB ≤B EC if and only if B ⊂ C.”
- Complete analytic equivalence relations (2005, background): “Another very similar Kσ equivalence relation was already known to be complete (see Kechris [13]).”
- Rigidity Theorems For Actions Of Product Groups And Countable Borel Equivalence Relations (2005, methodology): “Then AdamsKechris [AK] showed that the structure of ≤B on countable Borel equivalence relations is indeed complex, by establishing that the partial order of inclusion among Borel sets of reals can be embedded in ≤B on countable Borel equivalence relations, so, for example, any Borel partial order ca”