Algumas aplicações de p-pontos
In this work we analyze the concept of \(p\)-points in \(\omega\) and its relation with forcing, in particular Sacks forcing and side-by-side Sacks forcing. With this we verify that the existence of \(p\)-points with character \(\aleph_1\) is consistent with arbitrarily large \(2^{\aleph_0}\). We th...
| Autor: | |
|---|---|
| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Institución: | Universidade Federal de São Carlos (UFSCAR) |
| Repositorio: | Repositório Institucional da UFSCAR |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufscar.br:20.500.14289/18587 |
| Acceso en línea: | https://repositorio.ufscar.br/handle/20.500.14289/18587 |
| Access Level: | acceso abierto |
| Palabra clave: | \(p\)-pontos Compactificação de Stone-\v{C}ech Forcing de Sacks Unfriendly partitions Sacks forcing Stone-\v{C}ech compactification CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA |
| Sumario: | In this work we analyze the concept of \(p\)-points in \(\omega\) and its relation with forcing, in particular Sacks forcing and side-by-side Sacks forcing. With this we verify that the existence of \(p\)-points with character \(\aleph_1\) is consistent with arbitrarily large \(2^{\aleph_0}\). We then analyze two applications involving \(p\)-points: the construction of a graph without unfriendly partitions and the analysis of the homogeneity of the space \(\beta\omega \setminus \omega\). |
|---|