Timeline for Boundedness of sequences and cardinality
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Aug 20 at 17:07 | comment | added | Chris Stuart | Thanks, David. I have been trying to find the cardinality without assuming the continuum hypothesis. | |
Aug 20 at 0:36 | history | became hot network question | |||
Aug 19 at 18:26 | answer | added | Will Brian | timeline score: 11 | |
Aug 19 at 17:20 | comment | added | David Gao | Since $X$ satisfies the desired property iff $\text{span}(X)$ satisfies the desired property, the smallest cardinality of such $X$ and the smallest algebraic dimension of such $\text{span}(X)$ are the same. Clearly, this cardinality is at most $\mathfrak{c}$. It is also easy to see it is strictly larger than $\aleph_0$, so this solves the problem assuming CH, at least. | |
Aug 19 at 17:12 | history | edited | David Gao | CC BY-SA 4.0 |
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S Aug 19 at 16:35 | review | First questions | |||
Aug 19 at 17:08 | |||||
S Aug 19 at 16:35 | history | asked | Chris Stuart | CC BY-SA 4.0 |