A generalized Cantor theorem in ZF
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911163788296192 |
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| author | Peng, Yinhe Shen, Guozhen |
| author_facet | Peng, Yinhe Shen, Guozhen |
| contents | It is proved in $\mathsf{ZF}$ (without the axiom of choice) that, for all infinite sets $M$, there are no surjections from $ω\times M$ onto $\mathscr{P}(M)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00456 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A generalized Cantor theorem in ZF Peng, Yinhe Shen, Guozhen Logic Primary 03E10, 03E25 It is proved in $\mathsf{ZF}$ (without the axiom of choice) that, for all infinite sets $M$, there are no surjections from $ω\times M$ onto $\mathscr{P}(M)$. |
| title | A generalized Cantor theorem in ZF |
| topic | Logic Primary 03E10, 03E25 |
| url | https://arxiv.org/abs/2111.00456 |