Timeline for Is the partition tiling relation transitive?
Current License: CC BY-SA 4.0
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Mar 15 at 9:52 | vote | accept | Dominic van der Zypen | ||
Mar 14 at 19:59 | answer | added | bof | timeline score: 7 | |
Mar 13 at 19:48 | history | edited | Dominic van der Zypen | CC BY-SA 4.0 |
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Mar 13 at 7:53 | history | edited | Dominic van der Zypen | CC BY-SA 4.0 |
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Mar 12 at 20:49 | history | edited | Dominic van der Zypen |
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Mar 12 at 20:48 | comment | added | Dominic van der Zypen | @SamHopkins Thanks for your comment Sam -- I might restrict it to the same cardinality of parts / blocks -- but my hope is that the transitivity for $\preceq^*$ holds even in the general case. | |
Mar 12 at 20:00 | comment | added | Iosif Pinelis | @SamHopkins : Thank you for your comment. I thought the partitions are finite. | |
Mar 12 at 18:54 | comment | added | Sam Hopkins | @IosifPinelis: that’s not right. See the example in the question Dominic linked to. | |
Mar 12 at 16:34 | comment | added | Iosif Pinelis | It seems that $P \newcommand{\preq}{\preceq^*}\preq Q$ iff the cardinality of $P$ is no greater than that of $Q$. But then the "yes" answer is trivial. | |
Mar 12 at 14:56 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
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Mar 12 at 14:33 | history | edited | gmvh |
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Mar 12 at 14:13 | comment | added | Sam Hopkins | Do you want to restrict to partitions with the same number (cardinality) of parts? That case seems more related to your other question. | |
Mar 12 at 14:06 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |