Exercises:Saul - Algebraic Topology - 7/Exercise 7.6/X Complex

[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]\Delta[/ilmath]-complex for [ilmath]X[/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)