Polished A-A and added new lines for broken enumerates.
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Bokuan Li
2026-05-05 01:50:35 -04:00
parent 47a7e1de68
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81 changed files with 441 additions and 185 deletions

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\begin{enumerate}
\item For any $U \subset E$ convex and balanced, if $U$ absorbs every bounded set of $E$, then $U \in \cn_E(0)$.
\item For any seminorm $\rho: E \to [0, \infty)$ that is bounded on all bounded sets of $E$, $\rho$ is continuous.
\end{enumerate}
\end\{enumerate\}
If the above holds, then $E$ is a \textbf{bornological space}.
\end{definition}