| Title: |
Halfway New Cardinal Characteristics |
| Authors: |
Brendle, Jörg, Halbeisen, Lorenz J., Klausner, Lukas Daniel, Lischka, Marc, Shelah, Saharon |
| Source: |
Ann. Pure Appl. Log. 174 (9), 2023 |
| Publication Year: |
2018 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Logic, 03E17 (Primary) 03E35, 03E40 (Secondary) |
| More Details: |
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 $\mathfrak{i}_{1/2}$.
Comment: 37 pages, 2 figures |
| Document Type: |
Working Paper |
| DOI: |
10.1016/J.APAL.2023.103303 |
| Access URL: |
http://arxiv.org/abs/1808.02442 |
| Accession Number: |
edsarx.1808.02442 |
| Database: |
arXiv |
