Timeline for Are "most" spaces aspherical?
Current License: CC BY-SA 4.0
7 events
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| Mar 22, 2021 at 2:56 | history | edited | Matthew Kahle | CC BY-SA 4.0 |
significantly expanded and rewrote answer, adding several examples and non-examples, and references
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| Feb 4, 2021 at 22:11 | comment | added | Tim Campion | @MatthewKahle This is really cool! I'm glad you're working on this kind of thing and thanks for posting here! As I understand it, the 1-skeleton of the 2-complexes you work with is always assumed to be complete. Could you say something about this assumption? Most complexes I tend to think about don't have this property. (But of course, part of the premise of the question is that it's possible I don't tend to think about "generic" complexes!) | |
| Oct 22, 2020 at 22:07 | comment | added | Matthew Kahle | HJRW, I think what you suggested is a fine example, and the fundamental groups of our random 2-dimension hypertrees look a bit like random groups (hyperbolic, cohomological dimension 2, etc.). I edited my answer, deleting the suggestion that these are the first example of anything... | |
| Oct 22, 2020 at 22:04 | history | edited | Matthew Kahle | CC BY-SA 4.0 |
took out comment that it was the first example of random spaces that is aspherical, in response to a a comment.
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| Oct 21, 2020 at 17:59 | history | edited | LSpice | CC BY-SA 4.0 |
Name of paper
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| Oct 21, 2020 at 17:01 | comment | added | HJRW | Just out of interest, would you not class presentation complexes of random groups as "random spaces"? It seems as reasonable a model to me as any other. Anyway, they are known to be aspherical with high probability, hence my question. | |
| Oct 21, 2020 at 16:53 | history | answered | Matthew Kahle | CC BY-SA 4.0 |