Timeline for On the fundamental group of a finite CW complex
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Apr 25, 2014 at 1:22 | review | Close votes | |||
| Apr 28, 2014 at 18:47 | |||||
| Apr 24, 2014 at 21:13 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Mar 6, 2011 at 21:57 | comment | added | Hugo Chapdelaine | Very nice answer Ryan, thanks a lot. | |
| Mar 6, 2011 at 21:13 | comment | added | Ryan Budney | Putting restrictions on the number of $1$ and $2$-cells is equivalent to saying "the group has a presentation with $x$ generators and $y$ relators". The number of generators and relators in a group presentation in general tells you very little about a specific group, as there are very complicated presentations of trivial groups with $n$ generators and $n$ relators. There is work to the effect that such information tells you a fair bit about random presentations but it doesn't tell you much about any specific presentation. | |
| Mar 6, 2011 at 20:04 | vote | accept | Hugo Chapdelaine | ||
| Mar 6, 2011 at 20:02 | comment | added | Hugo Chapdelaine | Yes I know, but say that you put some restrictions on the number of cells in various dimension, don't you think that this will put some restrictions on the kind of groups that you can get? | |
| Mar 6, 2011 at 19:32 | comment | added | Ryan Budney | A reference for your 1st question would be Proposition 1.26 in Hatcher's "Algebraic Topology" textbook (available on-line). For your 2nd question, there is nothing to say -- you can construct any finitely-presented group this way. | |
| Mar 6, 2011 at 18:49 | answer | added | Todd Trimble | timeline score: 3 | |
| Mar 6, 2011 at 18:48 | answer | added | Neil Strickland | timeline score: 19 | |
| Mar 6, 2011 at 17:57 | comment | added | Autumn Kent | Show that the inclusion of the 2-skeleton induces an isomorphism on $\pi_1$. | |
| Mar 6, 2011 at 17:51 | history | asked | Hugo Chapdelaine | CC BY-SA 2.5 |