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Timeline for Closed sets in ordinal spaces

Current License: CC BY-SA 3.0

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Jan 18, 2015 at 4:43 comment added Mohammad Golshani It doesn't work,for example then $\kappa_{\omega}$ should be in both of $X$ and $Y$.
Jan 16, 2015 at 20:36 comment added Ergonvi But the same argument wouldn't be right for cardinals with uncontable cofinality? I mean for example, $X=\bigcup_{\alpha <\omega_1} (\kappa_{2\alpha},\kappa_{2\alpha+1}]$ and $Y=\bigcup_{\alpha <\omega_1} (\kappa_{2\alpha+1},\kappa_{2\alpha}]$...
Jan 5, 2015 at 17:59 comment added Ergonvi Oh, that's right... Thank you @Mohammad Golshani! :)
Jan 5, 2015 at 10:25 comment added Mohammad Golshani That's trivial, for example $|X|=\Sigma_n \kappa_{2n+1}=\kappa.$ Similarly $|Y|=\Sigma_n \kappa_{2n+2}=\kappa.$
Jan 5, 2015 at 10:03 comment added Ergonvi Thank you @Mohammad Golshani ! But why $X$ and $Y$ have cardinality $\kappa$?
Jan 5, 2015 at 9:58 history undeleted Mohammad Golshani
Jan 5, 2015 at 9:57 history deleted Mohammad Golshani via Vote
Jan 5, 2015 at 9:56 history answered Mohammad Golshani CC BY-SA 3.0