Star-like domain

Definition

A domain (open connected subset in $\mathbb {C} ^{n}$) is termed star-like if there exists a point in the domain (called a star point) such that the line segment joining it to any other point in the domain, lies completely inside the domain.

Relation with other properties

Stronger properties

• Convex domain

Weaker properties

• Contractible domain
• Simply connected domain