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Remove errorneous sentence in example proving that the interval [0, 1…
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…] is compact
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ejuarezg committed Feb 26, 2020
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2 changes: 1 addition & 1 deletion src/ga/05topology_inv.tex
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Expand Up @@ -95,7 +95,7 @@ \subsection{Compactness and paracompactness}
\er

\be
The interval $[0,1]$ is compact in $(\R,\cO_\mathrm{std})$. The one-element set containing $(-1,2)$ is a cover of $[0,1]$, but it is also a finite subcover and hence $[0,1]$ is compact from the definition. Alternatively, $[0,1]$ is clearly closed and bounded, and hence it is compact by the Heine-Borel theorem.
The interval $[0,1]$ is compact in $(\R,\cO_\mathrm{std})$. Alternatively, $[0,1]$ is clearly closed and bounded, and hence it is compact by the Heine-Borel theorem.
\ee

\be
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