Timeline for Point sets with tangents through every point
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 27, 2016 at 14:50 | comment | added | Anurag | Every minimal blocking set in $PG(2,q)$ has this property, i.e, point sets which intersect every line, do not contain any line, and are minimal with respect to inclusion. This is because if there is a point $x$ in such a minimal blocking set through which there is no tangent, then you can just remove this point $x$ to get a proper subset of the blocking set which is also a blocking set. | |
| Mar 26, 2014 at 0:21 | comment | added | Peter Dukes | Flats are also known as subdesigns, or subspaces. By the way, I am interested in designs such that any "small" collection of points is contained in a proper flat/subdesign. They exist with surprising abundance, not just in affine or projective space of high dimension. There are lots of tangents in these cases. | |
| Mar 25, 2014 at 22:57 | comment | added | Felix Goldberg | @PeterDukes Actually, I don't so happy to learn something new! :) But how do you define a flat in a general design? | |
| Mar 25, 2014 at 21:50 | comment | added | Peter Dukes | You probably know this already, but $S$ has your Ore property whenever $S$ is contained in a proper flat, and also whenever $P$ is large relative to (quadratic in?) $S$. | |
| Mar 23, 2014 at 21:00 | comment | added | Felix Goldberg | @TheMaskedAvenger Of $S$. | |
| Mar 23, 2014 at 19:49 | comment | added | The Masked Avenger | I think the present wording is unclear. Is this a property of S, B, or D? (I'm guessing S.) | |
| Mar 23, 2014 at 10:02 | history | edited | Felix Goldberg | CC BY-SA 3.0 |
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| Mar 23, 2014 at 9:47 | history | edited | Felix Goldberg | CC BY-SA 3.0 |
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| Mar 23, 2014 at 9:37 | history | asked | Felix Goldberg | CC BY-SA 3.0 |