Skip to content

Centered Family / Filter-Subbase (有心族・準基) (Definition II.2.3)

QUESTION
Centered Family / Filter-Subbase (有心族・準基) (Definition II.2.3)
Click to reveal answer
ANSWER
A family $\mathcal{D}$ of subsets of $X$ is centered (or has the **finite intersection property**) if for any finite subfamily $\mathcal{D}_0 \subset_{\text{fin}} \mathcal{D}$, the intersection $\bigcap_{D \in \mathcal{D}_0} D$ is non-empty.
Click to see question

  • ソースノート: chapter2.md
  • カードID: centered-family-filter-subbase
  • 状態: active