The elementary theory of free Steiner triple systems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915814337150976 |
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| author | Barbina, Silvia Casanovas, Enrique |
| author_facet | Barbina, Silvia Casanovas, Enrique |
| contents | Free Steiner triple systems (STS) are infinite structures that are naturally characterised by a universal property. We consider the class of free STSs from a model theoretic viewpoint. We show that free STSs on any number of generators are elementarily equivalent. We axiomatise their theory and show that it is stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The elementary theory of free Steiner triple systems Barbina, Silvia Casanovas, Enrique Logic 03C15, 03C65, 05B07 Free Steiner triple systems (STS) are infinite structures that are naturally characterised by a universal property. We consider the class of free STSs from a model theoretic viewpoint. We show that free STSs on any number of generators are elementarily equivalent. We axiomatise their theory and show that it is stable. |
| title | The elementary theory of free Steiner triple systems |
| topic | Logic 03C15, 03C65, 05B07 |
| url | https://arxiv.org/abs/2411.13723 |