Star domain

In mathematics, a set S in the Euclidean space Rn is called a star domain (or star-convex set, star-shaped or radially convex set) if there exists x0 in S such that for all x in S the line segment from x0 to x is in S. This definition is immediately generalizable to any real or complex vector space.

Intuitively, if one thinks of S as of a region surrounded by a wall, S is a star domain if one can find a vantage point x0 in S from which any point x in S is within line-of-sight.

Contents

Examples

B= \{ ta�: a\in A, t\in[0,1] \}
obtained by connecting any point in A to the origin is a star domain.

Properties

See also

References

External links