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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.02215 |
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| _version_ | 1866914695572619264 |
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| author | Banerjee, Amitayu Gopaulsingh, Alexa Molnár, Zalán |
| author_facet | Banerjee, Amitayu Gopaulsingh, Alexa Molnár, Zalán |
| contents | In set theory without the Axiom of Choice, we study the set-theoretic strength of a generalized version of the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs introduced by Erdős and Rado, concerning their interrelation with several weak choice forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02215 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs without AC Banerjee, Amitayu Gopaulsingh, Alexa Molnár, Zalán Logic Combinatorics 03E25 03E35 06A07 In set theory without the Axiom of Choice, we study the set-theoretic strength of a generalized version of the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs introduced by Erdős and Rado, concerning their interrelation with several weak choice forms. |
| title | On the Rainbow Ramsey theorem and the Canonical Ramsey Theorem for pairs without AC |
| topic | Logic Combinatorics 03E25 03E35 06A07 |
| url | https://arxiv.org/abs/2401.02215 |