Combinatorics of Schur ultrafilters
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916020743045120 |
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| author | Bardyla, S. |
| author_facet | Bardyla, S. |
| contents | In this paper, we provide a combinatorial characterization of the elements of Schur ultrafilters on countable commutative groups. Using this characterization, we construct a free Schur ultrafilter on $\mathbb Z$ that is not infinitary Schur. Moreover, assuming the Continuum Hypothesis, we establish the existence of a free Schur P-point on $\mathbb Z$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17411 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Combinatorics of Schur ultrafilters Bardyla, S. Logic Combinatorics In this paper, we provide a combinatorial characterization of the elements of Schur ultrafilters on countable commutative groups. Using this characterization, we construct a free Schur ultrafilter on $\mathbb Z$ that is not infinitary Schur. Moreover, assuming the Continuum Hypothesis, we establish the existence of a free Schur P-point on $\mathbb Z$. |
| title | Combinatorics of Schur ultrafilters |
| topic | Logic Combinatorics |
| url | https://arxiv.org/abs/2605.17411 |