Timeline for Small simplicial complexes with torsion in their homology?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 11, 2010 at 14:15 | comment | added | damiano | @jp: This might be correct, but I do not see the point in editing it in, given the better argument below! d | |
| Mar 11, 2010 at 13:05 | comment | added | j.p. | Another idea to leave out (almost) every 2nd vertex of the $3p$-gon: use just the simplices $\{b_i, b_{i+1}, a_{2i+1\pmod 3}\}$, $\{b_i, a_{2i-1\pmod 3}, a_{2i\pmod 3}\}$ and $\{b_i, a_{2i\pmod 3}, a_{2i+1\pmod 3}\}$ to glue the triangle to the "$(3p+1)/2$"-gon. This way we "make two steps" on the triangle for "each step" on the now "$(3p+1)/2$"-gon. (Needs of course a correct treatment of $i=0$ rsp. $i=(3p+1)/2$). | |
| Mar 11, 2010 at 12:44 | comment | added | j.p. | @David: You are right, I set the wrong path to zero. | |
| Mar 11, 2010 at 12:36 | comment | added | David E Speyer | Rather, don't add $(a_1, a_2, a_3)$ but, instead, triangulate the $3p$-gon without adding a new internal vertex. | |
| Mar 11, 2010 at 12:19 | comment | added | j.p. | You can reduce the number of vertices by 1 if you simply add the simplex $\{a_1, a_2, a_3\}$ to your construction instead of "coning it off". Maybe you should also make clear that you start taking only the boundary of the triangle and the $3p$-gon. | |
| Mar 11, 2010 at 10:55 | history | answered | damiano | CC BY-SA 2.5 |