| Autor: |
Brooke-Taylor, Andrew D., Calderoni, Filippo, Miller, Sheila K. |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Fundamenta Mathematicae, 251 (2020) , 1 - 16 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.4064/fm862-2-2020 |
| Popis: |
We show that the embeddability relations for countable quandles and for countable fields of any given characteristic other than 2 are maximally complex in a strong sense: they are invariantly universal. This notion from the theory of Borel reducibility states that any analytic quasi-order on a standard Borel space essentially appears as the restriction of the embeddability relation to an isomorphism-invariant Borel set. As an intermediate step we show that the embeddability relation of countable quandles is a complete analytic quasi-order. |
| Databáze: |
arXiv |
| Externí odkaz: |
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