# Rational continua

A continuum $X$ is said to be rational provided that every point $p \in X$ has a local basis $B_p$ such that the boundary of each member of $B_p$ is at most countable.

# Properties

**Proposition:** The property of being a rational continuum is not a Whitney property.

**Proof:** █

**Proposition:** The property of not being a rational continuum is not a Whitney property.

**Proof:** █