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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.01387 |
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| _version_ | 1866914016319766528 |
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| author | Cieślak, Aleksander Martínez-Celis, Arturo |
| author_facet | Cieślak, Aleksander Martínez-Celis, Arturo |
| contents | In this work we consider the ideals $m^0(\mathcal{I})$ and $\ell^0(\mathcal{I})$, ideals generated by the $\mathcal{I}$-positive Miller trees and $\mathcal{I}$-positive Laver trees, respectively. We investigate in which cases these ideals have cofinality larger than $\mathfrak{c}$ and we calculate some cardinal invariants closely related to these ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On ideals related to Laver and Miller trees Cieślak, Aleksander Martínez-Celis, Arturo Logic In this work we consider the ideals $m^0(\mathcal{I})$ and $\ell^0(\mathcal{I})$, ideals generated by the $\mathcal{I}$-positive Miller trees and $\mathcal{I}$-positive Laver trees, respectively. We investigate in which cases these ideals have cofinality larger than $\mathfrak{c}$ and we calculate some cardinal invariants closely related to these ideals. |
| title | On ideals related to Laver and Miller trees |
| topic | Logic |
| url | https://arxiv.org/abs/2312.01387 |