Review Note
Last Update: 11/14/2024 06:44 PM
Current Deck: Mathematics::Algebraic Topology
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Front
[latex]
Definition \textbf{Steenrod Operations}
[/latex]
Definition \textbf{Steenrod Operations}
[/latex]
PicFront
Back
[latex]
\begin{align*}
\Sq^{n}\colon H^{q}( X; \mathbb{Z}_{2} ) &\longrightarrow H^{q+n}( X; \mathbb{Z}_{2}) \\
x &\longmapsto
\begin{cases}
x^2 & n = \deg x \\
0 & n > \deg x
\end{cases}
\end{align*}
[/latex]
\begin{align*}
\Sq^{n}\colon H^{q}( X; \mathbb{Z}_{2} ) &\longrightarrow H^{q+n}( X; \mathbb{Z}_{2}) \\
x &\longmapsto
\begin{cases}
x^2 & n = \deg x \\
0 & n > \deg x
\end{cases}
\end{align*}
[/latex]
Proof
Screenshot
Source
A Concise Course in Topology - May
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