Convex analysis | Functional analysis | Euclidean geometry | Linear algebra

Star domain

In geometry, a set in the Euclidean space is called a star domain (or star-convex set, star-shaped set or radially convex set) if there exists an such that for all the line segment from to lies in This definition is immediately generalizable to any real, or complex, vector space. Intuitively, if one thinks of as a region surrounded by a wall, is a star domain if one can find a vantage point in from which any point in is within line-of-sight. A similar, but distinct, concept is that of a radial set. (Wikipedia).

Star domain
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Vector space | Closure (topology) | Homotopy | Convex hull | Intersection (set theory) | Radial set | Minkowski functional | Empty set | Line segment | Set (mathematics) | Union (set theory) | Diffeomorphism | Real number | Euclidean space | Interior (topology) | Balanced set | Complex number | Star-shaped polygon | Geometry | Contractible space | Convex set