1 Answers
In geometry, a set S in the Euclidean space R n {\displaystyle \mathbb {R} ^{n}} is called a star domain 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 s0 to s lies in S. This definition is immediately generalizable to any real, or complex, vector space.
Intuitively, if one thinks of S as a region surrounded by a wall, S is a star domain if one can find a vantage point s0 in S from which any point s in S is within line-of-sight. A similar, but distinct, concept is that of a radial set.
4 views
Answered