The weak Ramsey property and extreme amenability
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866909395004162048 |
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| author | Bartoš, Adam Bice, Tristan Barbosa, Keegan Dasilva Kubiś, Wiesław |
| author_facet | Bartoš, Adam Bice, Tristan Barbosa, Keegan Dasilva Kubiś, Wiesław |
| contents | We extend the Kechris--Pestov--Todorčević correspondence to weak Fra\"ıssé categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property. We demonstrate the theory on several examples including monoid categories, the category of almost linear orders, and categories of strong embeddings of trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_01694 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The weak Ramsey property and extreme amenability Bartoš, Adam Bice, Tristan Barbosa, Keegan Dasilva Kubiś, Wiesław Logic Category Theory 22F50, 05D10, 18A30, 54H11 We extend the Kechris--Pestov--Todorčević correspondence to weak Fra\"ıssé categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property. We demonstrate the theory on several examples including monoid categories, the category of almost linear orders, and categories of strong embeddings of trees. |
| title | The weak Ramsey property and extreme amenability |
| topic | Logic Category Theory 22F50, 05D10, 18A30, 54H11 |
| url | https://arxiv.org/abs/2110.01694 |