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Finished basic topologies on function spaces.

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Bokuan Li
2026-01-06 17:25:01 -05:00
parent 9e76c1610a
commit a704806321
5 changed files with 63 additions and 43 deletions
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src/fa/tvs/bounded.tex
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@@ -1,9 +1,6 @@
\section{Bounded Sets}
\label{section:bounded}
\subsection{Bounded Sets}
\label{subsection:tvs-bounded}
\begin{definition}[Bounded]
\label{definition:bounded}
Let $E$ be a TVS over $K \in \RC$ and $B \subset E$, then $B$ is \textbf{bounded} if for every $U \in \cn(0)$, there exists $\lambda \in K$ such that $\lambda U \supset B$.