| [ilmath]\Delta[/ilmath]-complex for [ilmath]X[/ilmath]
|
| [ilmath]\xymatrix{
\bullet_{v_0} \ar[dd]_\alpha \ar[dr]^\beta & & \bullet_{v_3} \ar@2{->}[dr]^b \ar@2{->}[dl]_a & & \bullet_{v_5} \ar[dd]^z \\
& \bullet_{v_2} \ar@2{<-}[dr]_a \ar@{}[rr]|(.3){\LARGE{\mathbf{A} } }|(.7){\LARGE{\mathbf{ B} } } & & \bullet_{v_4} \ar@{<-}[ur]^x \\
\bullet_{v_1} \ar[ur]_\gamma & & \bullet_{v_3} \ar@2{->}[ur]_b \ar@2{->}[uu]^c_c & & \bullet_{v_6} \ar[ul]^y
}[/ilmath]
|
| [ilmath]0[/ilmath]-simplices:
|
[ilmath]v_0,v_1,v_2,v_3,v_4,v_5,v_6[/ilmath]
|
(7)
|
| [ilmath]1[/ilmath]-simplices:
|
[ilmath]\alpha,\beta,\gamma,a,b,c,x,y,z[/ilmath]
|
(9)
|
| [ilmath]2[/ilmath]-simplices:
|
[ilmath]A,B[/ilmath]
|
(2)
|
