| Title:
|
Cohen real and disjoint refinement of perfect sets (English) |
| Author:
|
Repický, Miroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
179-181 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that if there exists a Cohen real over a model, then the family of perfect sets coded in the model has a disjoint refinement by perfect sets. (English) |
| Keyword:
|
Sacks forcing |
| Keyword:
|
Cohen real |
| Keyword:
|
disjoint refinement |
| MSC:
|
03E05 |
| MSC:
|
03E40 |
| idZBL:
|
Zbl 1035.03027 |
| idMR:
|
MR1756938 |
| . |
| Date available:
|
2009-01-08T18:59:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119152 |
| . |
| Reference:
|
[1] Balcar B., Simon P.: Disjoint refinement.in: Handbook of Boolean Algebras2 J.D. Monk and R. Bonnet North-Holland Amsterdam (1989), 334-386. MR 0991597 |
| Reference:
|
[2] Judah H., Miller A. W., Shelah S.: Sacks forcing, Laver forcing, and Martin's axiom.Arch. Math. Logic 31 (1992), 145-161. Zbl 0755.03026, MR 1147737 |
| . |
