Name
Abstract | ||
|---|---|---|
For a stationary set S subset of or equal to omega(1) and a ladder system C over S, a new type of gaps called C-Hausdorff is introduced and investigated. We describe a forcing model of ZFC in which, for some stationary set S, for every ladder C over S, every gap contains a subgap that is C-Hausdorff. But for every ladder E over omega(1) \ S there exists a gap with no subgap that is E-Hausdorff. A new type of chain condition, called polarized chain condition, is introduced. We prove that the iteration with finite support of polarized c.c.c. posets is again a polarized c.c.c. poset. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.2178/jsl/1082418541 | JOURNAL OF SYMBOLIC LOGIC |
Field | DocType | Volume |
Discrete mathematics,Existential quantification,Stationary set,Hausdorff space,Mathematics,Partially ordered set | Journal | 69 |
Issue | ISSN | Citations |
2 | 0022-4812 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Uri Abraham | 1 | 56 | 13.91 |
| Saharon Shelah | 2 | 1556 | 440.53 |