This commit is contained in:
@@ -38,7 +38,7 @@
|
||||
\item If $\mathfrak{E}(\sigma, \fU)$ forms a fundamental system of entourages for $\fV$.
|
||||
\end{enumerate}
|
||||
|
||||
The uniformity $\fV$ is the \textbf{$\sigma$-uniformity}, and the topology induced by $\fV$ is the \textbf{topology of uniform convergence on the sets $\sigma$}/\textbf{$\sigma$-uniform topology} on $X^T$.
|
||||
The uniformity $\fV$ is the \textbf{$\sigma$-uniformity}, and the topology induced by $\fV$ is the \textbf{topology of uniform convergence $\sigma$}, or the \textbf{$\sigma$-uniform topology} on $X^T$.
|
||||
\end{definition}
|
||||
\begin{proof}
|
||||
(1): Since $\Delta \subset E(S, U)$ for all $S \in \sigma$ and $U \in \fU$, $\mathfrak{E}(\sigma, \fU)$ generates a uniformity on $X^T$.
|
||||
|
||||
Reference in New Issue
Block a user