\begin{definition}[Definition:Borel Sigma-Algebra/Also known as]
The '''Borel $\sigma$-algebra''' is also found with the name '''topological $\sigma$-algebra''', or even just '''$\sigma$-algebra'''.
When the set $S$ or the topology $\tau$ are clear from the context, one may encounter $\map \BB \tau$, $\map \BB S$ or even just $\BB$.
Some authors write $\BB^n$ for $\map \BB {\R^n, \tau}$.
Category:Definitions/Borel Sigma-Algebras
\end{definition}