arXiv Open Access 2025

Con($\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$)

Jonathan Cancino Manríquez

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Abstrak

We prove the consistency of the inequality $\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$, which in turn implies the consistency of $\mathfrak{r}_\mathsf{nwd}<\mathfrak{i}$ and $\mathfrak{r}_{\mathsf{scatt}}<\mathfrak{irr}$. This answers one question from \cite{balzar_hrusak_hernandez} and one question from \cite{cancino_irresolvable_1}. We also prove the consistency of the inequality $\mathfrak{r}_\mathbb{Q}<\mathfrak{u}_\mathbb{Q}$.

Topik & Kata Kunci

math.LO

Penulis (1)

Jonathan Cancino Manríquez

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APA MLA BibTeX

Manríquez, J.C. (2025). Con($\mathfrak{r}_{\mathsf{nwd}}<\mathfrak{irr}$). https://arxiv.org/abs/2505.01004

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓