| Title:
|
Separating equivalence classes (English) |
| Author:
|
Zapletal, Jindřich |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
531-540 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Given a countable Borel equivalence relation, I introduce an invariant measuring how difficult it is to find Borel sets separating its equivalence classes. I evaluate these invariants in several standard generic extensions. (English) |
| Keyword:
|
countable Borel equivalence relation |
| Keyword:
|
forcing |
| MSC:
|
03E15 |
| MSC:
|
03E17 |
| idZBL:
|
Zbl 06997369 |
| idMR:
|
MR3914719 |
| DOI:
|
10.14712/1213-7243.2015.267 |
| . |
| Date available:
|
2018-12-28T15:15:56Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147557 |
| . |
| Reference:
|
[1] Jech T.: Set Theory.Springer Monographs in Mathematics, Springer, Berlin, 2003. Zbl 1007.03002, MR 1940513 |
| Reference:
|
[2] Kanovei V.: Borel Equivalence Relations: Structure and Classification.University Lecture Series, 44, American Mathematical Society, Providence, 2008. MR 2441635, 10.1090/ulect/044/06 |
| Reference:
|
[3] Zapletal J.: Forcing Idealized.Cambridge Tracts in Mathematics, 174, Cambridge University Press, Cambridge, 2008. Zbl 1140.03030, MR 2391923 |
| Reference:
|
[4] Zapletal J.: Hypergraphs and proper forcing.available at arXiv:1710.10650 [math.LO] (2017), 64 pages. |
| . |
