Local Ramsey theory. An abstract approach
| dc.creator | Mijares, José | |
| dc.creator | Nieto, Jesús | |
| dc.date | 2007-12-14 | |
| dc.date.accessioned | 2026-07-07T08:49:19Z | |
| dc.date.available | 2026-07-07T08:49:19Z | |
| dc.description | It is shown that the known notion of selective coideal can be extended to a family $\mathcal{H}$ of subsets of $\mathcal{R}$, where $(\mathcal{R},\leq,r)$ is a topological Ramsey space in the sense of Todorcevic (see \cite{todo}). Then it is proven that, if $\mathcal{H}$ selective, the $\mathcal{H}$-Ramsey and $\mathcal{H}$-Baire subsets of $\mathcal{R}$ are equivalent. This extends the results of Farah in \cite{farah} for semiselective coideals of $\mathbb{N}$. Also, it is proven that the family of ${\cal H}$--Ramsey subsets of ${\cal R}$ is closed under the Souslin operation. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0712.2393 | |
| dc.identifier | http://arxiv.org/abs/0712.2393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144258 | |
| dc.subject | Logic | |
| dc.subject | 05D10 (Primary); 05C55 (Secondary) | |
| dc.title | Local Ramsey theory. An abstract approach | |
| dc.type | text |