On a problem of Erdos and Hajnal
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915167893192704 |
|---|---|
| author | Garti, Shimon Hayut, Yair Shelah, Saharon |
| author_facet | Garti, Shimon Hayut, Yair Shelah, Saharon |
| contents | Addressing a question of Erdos and Hajnal we show that one can force a graph with no large independent sets and no monochromatic triples as successors of strong limit singular cardinals, even without assuming GCH. The result can be pushed down to $\aleph_ω$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16625 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a problem of Erdos and Hajnal Garti, Shimon Hayut, Yair Shelah, Saharon Logic Combinatorics 03E02, 03E04, 03E55 Addressing a question of Erdos and Hajnal we show that one can force a graph with no large independent sets and no monochromatic triples as successors of strong limit singular cardinals, even without assuming GCH. The result can be pushed down to $\aleph_ω$. |
| title | On a problem of Erdos and Hajnal |
| topic | Logic Combinatorics 03E02, 03E04, 03E55 |
| url | https://arxiv.org/abs/2502.16625 |