Pseudofiniteness and measurability of the everywhere infinite forest
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917200127852544 |
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| author | García, Darío Robles, Melissa |
| author_facet | García, Darío Robles, Melissa |
| contents | In this paper we study the theories of the infinite-branching tree and the $r$-regular tree, and show that both of them are pseudofinite. Moreover, we show that they can be realized by infinite ultraproducts of polynomial exact classes of graphs, and so they are also generalised measurable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00991 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pseudofiniteness and measurability of the everywhere infinite forest García, Darío Robles, Melissa Logic Combinatorics 03C (Primary) 05C (Secondary) In this paper we study the theories of the infinite-branching tree and the $r$-regular tree, and show that both of them are pseudofinite. Moreover, we show that they can be realized by infinite ultraproducts of polynomial exact classes of graphs, and so they are also generalised measurable. |
| title | Pseudofiniteness and measurability of the everywhere infinite forest |
| topic | Logic Combinatorics 03C (Primary) 05C (Secondary) |
| url | https://arxiv.org/abs/2309.00991 |