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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.12239 |
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| _version_ | 1866915393427210240 |
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| author | Codenotti, Alessandro |
| author_facet | Codenotti, Alessandro |
| contents | Using a generalization of the Kechris-Pestov-Todorčević correspondence due to Nguyen Van Thé we obtain fixed point theorems for null and tame actions of groups of the form $\mathrm{Aut}(\mathcal F)$, where $\mathcal{F}$ is a Fraïssé structure. In particular we show that if $\mathrm{Age}(\mathcal F)$ is a free joint embedding class, then every null flow $\mathrm{Aut}(\mathcal F)\curvearrowright X$ has a fixed point, while if $\mathrm{Age}(\mathcal F)$ is a free amalgamation class, then every tame flow $\mathrm{Aut}(\mathcal F)\curvearrowright X$ has a fixed point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed points on null and tame flows for groups of automorphisms Codenotti, Alessandro Logic Dynamical Systems Using a generalization of the Kechris-Pestov-Todorčević correspondence due to Nguyen Van Thé we obtain fixed point theorems for null and tame actions of groups of the form $\mathrm{Aut}(\mathcal F)$, where $\mathcal{F}$ is a Fraïssé structure. In particular we show that if $\mathrm{Age}(\mathcal F)$ is a free joint embedding class, then every null flow $\mathrm{Aut}(\mathcal F)\curvearrowright X$ has a fixed point, while if $\mathrm{Age}(\mathcal F)$ is a free amalgamation class, then every tame flow $\mathrm{Aut}(\mathcal F)\curvearrowright X$ has a fixed point. |
| title | Fixed points on null and tame flows for groups of automorphisms |
| topic | Logic Dynamical Systems |
| url | https://arxiv.org/abs/2507.12239 |