User:Artemisfowl3rd

$$ \begin{array}{lcr} {i _ {1}} \mathop \cdot \limits &\mathop \rightarrow \limits ^ {u _ {1}} &\mathop \cdot \limits {i _ {2}} \\ {} _ {u _ {3}} \searrow &{} &\swarrow _ {u _ {2}} \\ {} &\mathop \cdot \limits _ {i _ {3}} &{} \\ \end{array} $$

$$ \begin{array}{rcl} i _ {1} \mathop \cdot \limits &\mathop \rightarrow \limits ^ {u _ {1}} &\mathop \cdot \limits i _ {2} \\ \scriptsize {u _ {4}} \downarrow &{} &\downarrow \scriptsize {u _ {2}} \\ i _ {4} \mathop \cdot \limits &\mathop \rightarrow \limits _ {u _ {3}} &\mathop \cdot \limits i _ {3} \\ \end{array} $$

$$ \begin{array}{rcl} A &{} & B \\ \scriptsize{f}\Big\downarrow & \xrightarrow{\ \ e\ \ } & \Big\downarrow \scriptsize{g} \\ C &{} & D \end{array}$$

$$ \begin{array}{ccc} H^*(W(G,K)) & \xrightarrow[\cong]{\ \ w\ \ } & H^*(EG/K, \mathbf{R}) \\ \cong \Big\downarrow& & \Big\downarrow \cong\\ I(K) & \xrightarrow[\cong]{\ \ w\ \ } & H^*(BK, \mathbf{R}) \end{array} $$