Siblings of Direct Sums of Chains
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909540045291520 |
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| author | Abdi, Davoud |
| author_facet | Abdi, Davoud |
| contents | We prove that a countable direct sum of chains has either one, countably many or else continuum many isomorphism classes of siblings. This proves Thomassé's conjecture for such structures. Further, we show that a direct sum of chains of any cardinality has one or infinitely many siblings, up to isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_03477 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Siblings of Direct Sums of Chains Abdi, Davoud Combinatorics We prove that a countable direct sum of chains has either one, countably many or else continuum many isomorphism classes of siblings. This proves Thomassé's conjecture for such structures. Further, we show that a direct sum of chains of any cardinality has one or infinitely many siblings, up to isomorphism. |
| title | Siblings of Direct Sums of Chains |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2209.03477 |