continuous functions on a compact hausdorff spaceの例文
- The space of continuous functions on a compact Hausdorff space has a particular importance.
- The Stone Weierstrass theorem is a vital result in the study of the algebra of continuous functions on a compact Hausdorff space.
- Equicontinuity appears in the formulation of Ascoli's theorem, which states that a subset of " C " ( " X " ), the space of continuous functions on a compact Hausdorff space " X ", is compact if and only if it is closed, pointwise bounded and equicontinuous.
