Name
Abstract | ||
|---|---|---|
Some subfamilies of Pκ(λ), for κ regular, κ ⩽ λ, called (κ, λ)-semimorasses are investigated. For λ = κ+, they constitute weak versions of Velleman's simplified (κ, 1)-morasses, and for λ > κ+, they provide a combinatorial framework which in some cases has similar applications to the application of (κ, 1)-morasses with this difference that the obtained objects are of size λ ⩾ κ+, and not only of size κ+ as in the case of morasses. New consistency results involve (compatible with CH) existence of nonreflecting objects of singular sizes of uncountable cofinality such as a nonreflecting stationary set in Pκ(λ), a nonreflecting nonmetrizable space of size λ, a nonreflecting nonspecial tree of size λ. We also characterize possible minimal sizes of nonspecial trees without uncountable branches. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1016/0168-0072(93)E0068-Y | Annals of Pure and Applied Logic |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Uncountable set,Cardinal number,Stationary set,Cofinality,Mathematics | Journal | 72 |
Issue | ISSN | Citations |
1 | 0168-0072 | 3 |
PageRank | References | Authors |
0.57 | 4 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Piotr Koszmider | 1 | 6 | 1.79 |