Timeline for How few $k$-dimensional subspaces of $V$ are enough to have a complement to each $n-k$-dimensional subspace?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 18, 2016 at 19:37 | comment | added | W. Edwin Clark | It has been a long time since we thought about this problem, so I cannot add anything to what is in the papers. | |
| Oct 18, 2016 at 19:25 | vote | accept | darij grinberg | ||
| Oct 18, 2016 at 19:24 | comment | added | darij grinberg | Did you ever try to find an explicit construction of a complement repository of size $k\left(n-k\right)+1$ ? Did you run into some serious obstructions, or just a lack of constructions that appeared to work? | |
| Oct 18, 2016 at 19:06 | history | edited | YCor | CC BY-SA 3.0 |
added links and changed tags
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| Oct 18, 2016 at 18:51 | comment | added | Sam Hopkins | It might be helpful to summarize the results in these papers. (However, from what I can tell briefly skimming through them, they study the exact problem of the OP and contain all results mentioned so far: $d(n,k) = k(n-k)+1$ for algebraically closed fields; $d(4,2) = 5$ if the field is quadratically closed and $4$ otherwise.) | |
| Oct 18, 2016 at 18:47 | history | answered | W. Edwin Clark | CC BY-SA 3.0 |