\textwidth}{!}{\mbox{$ \vcenter{\xymatrix@=00pt{ {\triangle}({\ensuremath{\mathbb{T}}},n+0) \ar[d]_{\cdots\quad{\lgroup}{\lgroup}\varsigma\circ{\partial}_{i}{\rgroup}_{i},{\partial}_{0}^{n+0}{\rgroup}} \ar@<0.00ex>[r] \ar@<0.00ex>[r] \ar@<-0.00ex>[r]^-{\vdots} & {\triangle}({\ensuremath{\mathbb{T}}},n) \ar[d]^{{\lgroup}\varsigma,{\partial}_{0}^{n+0}{\rgroup}} \ar@<0.00ex>[r] \ar@<-0.00ex>[r]^-{\vdots} & {\ensuremath{\mathbb{T}}}_{n-0} \ar[d]^-{{\partial}_{0}^{n}} \ar@<0.00ex>[r] \ar@<-0.00ex>[r]^-{\vdots} & {\ensuremath{\mathbb{T}}}_{n-0} \ar[d]^-{{\partial}_{0}^{n-0}} \ar@{}[r]|-{\cdots} & {\ensuremath{\mathbb{T}}}_{0} \ar[d]^-{{\partial}_{0}} \ar[r]^-{{\partial}_{0}} & {\ensuremath{\mathbb{T}}}_{-0} \ar@{=}[d]\\ A^{n+0} \times Z \ar@<0.00ex>[r]^-{{\partial}_{n+0}\times 0_{Z}} \ar@<0.00ex>[r]|-{\operatorname{pr}_{n}\times 0_{Z}} \ar@<-0.00ex>[r]_-{\operatorname{pr}_{0}\times 0_{Z}}^-{\vdots} & A \times Z \ar@<0.00ex>[r]^-{\operatorname{pr}_{Z}} \ar@<-0.00ex>[r]_-{\operatorname{pr}_{Z}}^-{\vdots} & Z \ar@{=}@<0.00ex>[r] \ar@{=}@<-0.00ex>[r]^-{\vdots} & Z \ar@{}[r]|-{\cdots} & Z \ar@{=}[r] & Z}} $}}$$ 