In geometry, a set S {\displaystyle S} in the Euclidean space R n {\displaystyle \mathbb {R} ^{n}} is called a star domain (or star-convex set, star-shaped set or radially convex set) if there exists an s 0 ∈ S {\displaystyle s_{0}\in S} such that for all s ∈ S , {\displaystyle s\in S,} the line segment from s 0 {\displaystyle s_{0}} to s {\displaystyle s} lies in S . {\displaystyle S.} This definition is immediately generalizable to any real, or complex, vector space.
In geometry, a set S {\displaystyle S} in the Euclidean space R n {\displaystyle \mathbb {R} ^{n}} is called a star domain (or star-convex set, star-shaped set or radially convex set) if there exists an s 0 ∈ S {\displaystyle s_{0}\in S} such that for all s ∈ S , {\displaystyle s\in S,} the line segment from s 0 {\displaystyle s_{0}} to s {\displaystyle s} lies in S . {\displaystyle S.} This definition is immediately generalizable to any real, or complex, vector space.
Source: Wikipedia "Star domain" · CC BY-SA 4.0
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