A generalized Cantor theorem in ZF
It is proved in $\mathsf{ZF}$ (without the axiom of choice) that, for all infinite sets $M$, there are no surjections from $\omega\times M$ onto $\mathscr{P}(M)$.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | It is proved in $\mathsf{ZF}$ (without the axiom of choice) that, for all
infinite sets $M$, there are no surjections from $\omega\times M$ onto
$\mathscr{P}(M)$. |
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| DOI: | 10.48550/arxiv.2111.00456 |