Halfway New Cardinal Characteristics
Based on the well-known cardinal characteristics \(\mathfrak{s}\), \(\mathfrak{r}\) and \(\mathfrak{i}\), we introduce nine related cardinal characteristics by using the notion of asymptotic density to characterise different intersection properties of infinite sets. We prove several bounds and consi...
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| Veröffentlicht in: | arXiv.org 2023-06 |
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| creator | Brendle, Jörg Halbeisen, Lorenz J Klausner, Lukas Daniel Lischka, Marc Saharon Shelah |
| description | Based on the well-known cardinal characteristics \(\mathfrak{s}\), \(\mathfrak{r}\) and \(\mathfrak{i}\), we introduce nine related cardinal characteristics by using the notion of asymptotic density to characterise different intersection properties of infinite sets. We prove several bounds and consistency results, e. g. the consistency of \(\mathfrak{s} < \mathfrak{s}_{1/2}\), as well as several results about possible values of \(\mathfrak{i}_{1/2}\). |
| doi_str_mv | 10.48550/arxiv.1808.02442 |
| format | Article |
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| subjects | Asymptotic properties Consistency Mathematics - Logic |
| title | Halfway New Cardinal Characteristics |
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