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Difference between revisions of "User:Artemisfowl3rd"

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(Created page with "Test: \begin{tikzcd} A & B \\ C & D \arrow[""{name=0, anchor=center, inner sep=0}, "f"', from=1-1, to=2-1] \arrow[""{name=1, anchor=center, inner sep=0}, "g", from=1-2, to=2-...")
 
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(3 intermediate revisions by the same user not shown)
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Test:
 
  
\begin{tikzcd}
+
$$
A & B \\
+
\begin{array}{lcr}
C & D
+
{i _ {1}} \mathop \cdot \limits  &\mathop \rightarrow \limits ^ {u _ {1}}  &\mathop \cdot \limits {i _ {2}}  \\
\arrow[""{name=0, anchor=center, inner sep=0}, "f"', from=1-1, to=2-1]
+
{} _ {u _ {3}}  \searrow  &{}  &\swarrow _ {u _ {2}}  \\
\arrow[""{name=1, anchor=center, inner sep=0}, "g", from=1-2, to=2-2]
+
{}  &\mathop \cdot \limits _ {i _ {3}}  &{}  \\
\arrow["e", shorten <=6pt, shorten >=6pt, from=0, to=1]
+
\end{array}  $$
\end{tikzcd}
+
 
 +
$$  \begin{array}{rcl} 
 +
i _ {1} \mathop \cdot \limits  &\mathop \rightarrow \limits ^ {u _ {1}}  &\mathop \cdot \limits i _ {2}  \\
 +
\scriptsize {u _ {4}} \downarrow  &{}  &\downarrow \scriptsize {u _ {2}}  \\ 
 +
i _ {4} \mathop \cdot \limits  &\mathop \rightarrow \limits _ {u _ {3}}  &\mathop \cdot \limits i _ {3}  \\
 +
\end{array} 
 +
$$
 +
 
 +
$$
 +
\begin{array}{rcl}  
 +
A &{} & B \\
 +
\scriptsize{f}\Big\downarrow & \xrightarrow{\ \ e\ \ } & \Big\downarrow \scriptsize{g} \\  
 +
C &{} & D
 +
\end{array}$$
 +
 
 +
$$
 +
\begin{array}{ccc}
 +
H^*(W(G,K)) & \xrightarrow[\cong]{\ \ w\ \ } & H^*(EG/K, \mathbf{R}) \\
 +
\cong \Big\downarrow& & \Big\downarrow \cong\\
 +
I(K) & \xrightarrow[\cong]{\ \ w\ \ } & H^*(BK, \mathbf{R})
 +
\end{array}
 +
$$

Latest revision as of 06:39, 15 February 2024

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

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

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

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

How to Cite This Entry:
Artemisfowl3rd. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Artemisfowl3rd&oldid=55440