Index of notation/B

Expression	Status	Meanings	See also
$\mathcal{B}$	current	The Borel sigma-algebra of the real line, sometimes denoted $\mathcal{B}(\mathbb{R})$. $\mathcal{B}(X)$ denotes the Borel sigma-algebra generated by a topology (on) $X$.	$\mathcal{B}(\cdot)$
$\mathcal{B}(\cdot)$	current	Denotes the Borel sigma-algebra generated by $\cdot$. Here the "$\cdot$" is any topological space, for a topology $(X,\mathcal{J})$ we usually still write $\mathcal{B}(X)$ however if dealing with multiple topologies on $X$ writing $\mathcal{B}(\mathcal{J})$ is okay. If the topology is the real line with the usual (euclidean) topology, we simply write $\mathcal{B}$	$\mathcal{B}$