Borel algebra

Dependencies:

1. Generated σ-algebra
2. /analysis/topological-space

Let $T$ be a topological space. Let $\tau$ be the set of all open sets of $T$. The Borel algebra on $T$, denoted as $\mathcal{B}(T)$, is defined as $\mathcal{B}(T) = \sigma(\tau)$.

A common example is $\mathcal{B}(\mathbb{R})$, since $\mathbb{R}$ is a topological space.

Dependency for:

1. Random variable
2. Generators of the real Borel algebra (incomplete)

Info:

• Depth: 3
• Number of transitive dependencies: 4

Transitive dependencies:

1. /analysis/topological-space
2. /sets-and-relations/countable-set
3. σ-algebra
4. Generated σ-algebra